Christian Constanda, MS, PhD, DSc

Christian Constanda, MS, PhD, DSc
Charles W. Oliphant Endowed Professor of Mathematics
College of Engineering & Natural Sciences
Mathematics
918-631-3068 Website Keplinger Hall Room 3225

Education

PhD – Romanian Academy of Sciences DSc – University of Strathclyde MSc – University of IASI

Bio

Engineers have proposed certain refined models to describe more accurately the phenomenon of bending of thin elastic plates, but have not investigated them in any great detail because of the mathematical difficulties involved. Christian Constanda's aim has been to identify these difficulties in the case of plates with transverse shear deformation and devise appropriate methods for resolving them under conditions of direct physical significance. This activity has led to the construction of both general theoretical formulas for the solution and to numerical algorithms that permit the computer implementation of the method. The work has covered a whole series of mathematical problems of considerable generality in a variety of areas, such as fundamental solutions for partial differential operators, mapping properties of singular integral operators, potential theory, complex variable functions, generalized Fourier series in Hilbert space, etc. The results of this ongoing research can be applied to many other problems in continuum mechanics.

Research Interests

Boundary Integral Methods
Mathematical Theory of Elasticity

Teaching Interests

Differential Equations
Partial Differential Equations
Applied Functional Analysis
Advanced Differential Equations

Publications

Journal Articles

  • ConstandaC., and DotyD. Bending of Plates With Transverse Shear Deformation: The Robin Problem. Vol. 2019, Computational and Mathematical Methods, 2019.
  • ConstandaC., and DotyD. Analytic and Numerical Solutions in the Theory of Elastic Plates. Complex Variables and Elliptic Equations, 2019.
  • The characteristic matrix of nonuniqueness for first-kind equations, in Integral Methods in Science and Engineering: Theoretical and Computational Advances, Birkhauser, New York, 2015, pp. 111-118(with D. Doty).

  • Constanda, Christian, and G.R. Thomson. “The Transmission Problem for Harmonic Oscillations of Thin Plates.” IMA J. Appl. Math. 78 (2013): 132–145. Print.

  • Constanda, Christian et al. “Bilateral Estimates for the Solutions of Boundary Value Problems in Kirchhoff’s Theory of Thin Plates.” Applicable Anal. 91 (2012): 1661–1674. Print.

  • ConstandaC., and ThomsonG. Integral Equations of the First Kind in the Theory of Oscillating Plates. Vol. 91, Applicable Anal., 2012, pp. 2235–2244.
  • ConstandaC., and ThomsonG. The Null Field Equations for Flexural Oscillations of Elastic Plates. Vol. 35, Math. Methods Appl. Sci., 2012, p. 510-–519.
  • ConstandaC., and ThomsonG. Uniqueness of Analytic Solutions for Stationary Plate Oscillations in an Annulus. Vol. 25, Appl. Math. Lett., 2012, pp. 1050–1055.
  • ConstandaC., and ThomsonG. Uniqueness of Solution in the Robin Problem for High-Frequency Vibrations of Elastic Plates. Vol. 24, Appl. Math. Lett., 2011, pp. 577–581.
  • ConstandaC., and ChudinovichI. Boundary Integral Equations for Bending of Thermoelastic Plates With Transmission Boundary Conditions. Vol. 33, Math. Methods Appl. Sci., 2010, pp. 117–124.
  • ConstandaC., and ChudinovichI. Boundary Integral Equations for Thermoelastic Plates With Cracks. Vol. 15, Math. Mech. Solids, 2010, pp. 96–113.
  • ConstandaC., and ThomsonG. The Direct Method for Harmonic Oscillations of Elastic Plates With Robin Boundary Conditions. Vol. 16, Math. Mech. Solids, 2010, pp. 200–207.
  • ConstandaC., ChudinovichI., DotyD., HamillW., and PomeranzS. The Dirichlet Problem for a Plate on an Elastic Foundation. Vol. 30, Libertas Math., 2010, pp. 81–84.
  • ConstandaC., and ChudinovichI. Transmission Problems for Thermoelastic Plates With Transverse Shear Deformation. Vol. 15, Math. Mech. Solids, 2010, pp. 491–511.
  • ConstandaC., and ThomsonG. A Matrix of Fundamental Solutions in the Theory of Plate Oscillations. Vol. 22, Appl. Math. Letters, 2009, pp. 707–711.
  • ConstandaC., and ThomsonG. Integral Equation Methods for the Robin Problem in Stationary Oscillations of Elastic Plates. Vol. 74, IMA J. Appl. Math., 2009, pp. 548–558.
  • ConstandaC., and ThomsonG. The Eigenfrequencies of the Dirichlet and Neumann Problems for an Oscillating Finite Plate. Vol. 14, Math. Mech. Solids, 2009, pp. 667–678.
  • ConstandaC., and ChudinovichI. The Traction Initial-Boundary Value Problem for Bending of Thermoelastic Plates With Cracks. Vol. 88, Applicable Anal., 2009, pp. 961–975.
  • ConstandaC., and ChudinovichI. Boundary Integral Equations in Bending of Thermoelastic Plates With Mixed Boundary Conditions. Vol. 20, J. Integral Equations Appl., 2008, pp. 311–336.
  • ConstandaC., and ChudinovichI. Boundary Integral Equations in Time-Dependent Bending of Thermoelastic Plates. Vol. 339, J. Math. Anal. Appl., 2008, pp. 1024–1043.
  • ConstandaC., and ThomsonG. Smoothness Properties of Newtonian Potentials in the Study of Elastic Plates. Vol. 87, Applicable Anal., 2008, pp. 349–361.
  • ConstandaC., and ChudinovichI. The Displacement Initial-Boundary Value Problem for Bending of Thermoelastic Plates Weakened by Cracks. Vol. 348, J. Math. Anal. Appl., 2008, pp. 286–297.
  • ConstandaC., ChudinovichI., and Aguilera-CortesL. The Direct Method in Time-Dependent Bending of Thermoelastic Plates. Vol. 86, Applicable Anal., 2007, pp. 315–329.
  • ChudinovichI., ConstandaC., DotyD., HamillW., and PomeranzS. The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation. The Ninth International Conference on Integral Methods in Science and Engineering (IMSE 2006) Proceedings, 2007, pp. 83-88.
  • ConstandaC., and MitricR. Boundary Integral Equation Methods for a Refined Model of Elastic Plates. Vol. 11, Math. Mech. Solids, 2006, pp. 642–654.
  • ConstandaC., ChudinovichI., DotyD., and KoshchiiA. Nonclassical Dual Methods in Equilibrium Problems for Thin Elastic Plates. Vol. 59, Quart. J. Mech. Appl. Math., 2006, pp. 125–137.
  • ConstandaC., ChudinovichI., and VenegasJ. On the Cauchy Problem for Thermoelastic Plates. Vol. 29, Math. Methods Appl. Sci., 2006, pp. 625–636.
  • ConstandaC., and ChudinovichI. Potential Representations of Solutions for Dynamic Bending of Elastic Plates Weakened by Cracks. Vol. 11, Math. Mech. Solids, 2006, pp. 494–512.
  • ConstandaC., and MitricR. Integration of an Equilibrium System in an Enhanced Theory of Bending of Elastic Plates. Vol. 81, J. Elasticity, 2005, pp. 63–74.
  • PomeranzS., LewisG., and ConstandaC. Iterative Solution of a Singular Convection-Diffusion Perturbation Problem. Vol. 56, ZAMP, The Journal of Applied Mathematics & Physics, 2005, pp. 890-07.
  • ConstandaC., ChudinovichI., and DolbergO. On the Laplace Transform of a Matrix of Fundamental Solutions for Thermoelastic Plates. Vol. 51, J. Engng. Math., 2005, pp. 199–209.
  • ConstandaC., ChudinovichI., and VenegasJ. Solvability of Initial-Boundary Value Problems for Bending of Thermoelastic Plates With Mixed Boundary Conditions. Vol. 311, J. Math. Anal. Appl., 2005, pp. 357–376.
  • ConstandaC., ChudinovichI., and GomezE. Nonstationary Boundary Equations for Plates With Transverse Shear Deformation and Elastic Articulation of the Boundary. Vol. 167, Acta Mech., 2004, pp. 91–100.
  • ConstandaC., ChudinovichI., and VenegasJ. The Cauchy Problem in the Theory of Thermoelastic Plates With Transverse Shear Deformation. Vol. 16, J. Integral Equations Appl., 2004, pp. 321–342.
  • ConstandaC., ChudinovichI., and GomezE. Weak Solutions for Time-Dependent Boundary Integral Equations Associated With the Bending of Elastic Plates under Combined Boundary Data. Vol. 27, Math. Methods Appl. Sci., 2004, pp. 769–780.
  • ConstandaC., and ThomsonG. A Matrix of Fundamental Solutions for Stationary Oscillations of Thermoelastic Plates. Vol. special issue, Izv. Vyssh. Uchebn. Zaved. Sev.-Kavk. Reg. Estestv. Nauki, 2003, pp. 77–82.
  • ConstandaC., and ChudinovichI. Boundary Integral Equations in Dynamic Contact Problems for Plates. Vol. 590, Visnik Kharkiv. Nats. Univ. Ser. Mat. Model. Inform. Tekh. Avtomat. Sist. Upravl., 2003, pp. 240–243.
  • ConstandaC., and ChudinovichI. Integral Representations for the Solution of Dynamic Bending of a Plate With Displacement-Traction Boundary Data. Vol. 10 (V.D. Kupradze memorial volume), Georgian Math. J., 2003, pp. 467–480.
  • ConstandaC., and ChudinovichI. Time-Dependent Boundary Integral Equations for Multiply Connected Plates. Vol. 68, IMA J. Appl. Math., 2003, pp. 507–522.
  • ConstandaC., and ChudinovichI. Boundary Integral Equations in Dynamic Problems for Elastic Plates. Vol. 68, J. Elasticity, 2002, pp. 73–94.
  • ConstandaC., and ChudinovichI. Dynamic Transmission Problems for Plates. Vol. 53, J. Appl. Math. Phys., 2002, pp. 1060–1074.
  • ConstandaC., and ChudinovichI. Combined Displacement-Traction Boundary Value Problems for Elastic Plates. Vol. 6, Math. Mech. Solids, 2001, pp. 175–191.
  • ConstandaC., KiddJ., and StewartI. Freedericksz Transitions in Circular Toroidal Layers of Smectic C Liquid Crystal. Vol. 66, IMA J. Appl. Math., 2001, pp. 387–409.
  • ConstandaC., and ChudinovichI. The Solvability of Boundary Integral Equations for the Dirichlet and Neumann Problems in the Theory of Thin Elastic Plates. Vol. 6, Math. Mech. Solids, 2001, pp. 269–279.
  • ConstandaC., and ChudinovichI. The Transmission Problem in Bending of Plates With Transverse Shear Deformation. Vol. 66, IMA J. Appl. Math., 2001, pp. 215–229.
  • ConstandaC., and ChudinovichI. Boundary Integral Equations for Multiply Connected Plates. Vol. 244, J. Math. Anal. Appl., 2000, pp. 184–199.
  • ConstandaC., and ChudinovichI. Existence and Uniqueness of Weak Solutions for a Thin Plate With Elastic Boundary Conditions. Vol. 13, Appl. Math. Lett., 2000, pp. 43–49.
  • ConstandaC., and ChudinovichI. Integral Representations of the Solution for a Plate on an Elastic Foundation. Vol. 139, Acta Mech., 2000, pp. 33–42.
  • ConstandaC., and ChudinovichI. Solution of Bending of Elastic Plates by Means of Area Potentials. Vol. 80, J. Appl. Math. Mech., 2000, pp. 547–553.
  • ConstandaC., and ChudinovichI. Solvability of Initial-Boundary Value Problems in Bending of Plates. Vol. 51, J. Appl. Math. Phys., 2000, pp. 449–466.
  • ConstandaC., and ChudinovichI. The Cauchy Problem in the Theory of Plates With Transverse Shear Deformation. Vol. 10, Math. Models Methods Appl. Sci., 2000, pp. 463–477.
  • ConstandaC., ChudinovichI., and KoshchiiA. The Classical Approach to Dual Methods for Plates. Vol. 53, Quart. J. Mech. Appl. Math., 2000, pp. 497–510.
  • ConstandaC., and ChudinovichI. Displacement-Traction Boundary Value Problems for Elastic Plates With Transverse Shear Deformation. Vol. 11, J. Integral Equations Appl., 1999, pp. 421–436.
  • ConstandaC., and ChudinovichI. Existence and Integral Representations of Weak Solutions for Elastic Plates With Cracks. Vol. 55, J. Elasticity, 1999, pp. 169-91.
  • ConstandaC., and ChudinovichI. Non-Stationary Integral Equations for Elastic Plates. Vol. 329, C.R. Acad. Sci. Paris Ser. I, 1999, pp. 1115–1120.
  • ConstandaC., and ThomsonG. Scattering of High Frequency Flexural Waves in Thin Plates. Vol. 4, Math. Mech. Solids, 1999, pp. 461–479.
  • ConstandaC., and ThomsonG. Area Potentials for Thin Plates. Vol. 44, An. Stiint. Al.I. Cuza Univ. Iasi Sect. Ia Mat., 1998, pp. 235–244.
  • ConstandaC. Composition Formulae for Boundary Operators. Vol. 40, SIAM Rev., 1998, pp. 128–132.
  • ConstandaC. Radiation Conditions and Uniqueness for Stationary Oscillations in Elastic Plates. Vol. 126, Proc. Amer. Math. Soc., 1998, pp. 827–834.
  • ConstandaC., and ThomsonG. Representation Theorems for the Solutions of High Frequency Harmonic Oscillations in Elastic Plates. Vol. 11, Appl. Math. Lett., 1998, pp. 55–59.
  • ConstandaC., and ChudinovichI. Variational Treatment of Exterior Boundary Value Problems for Thin Elastic Plates. Vol. 61, IMA J. Appl. Math., 1998, pp. 141–153.
  • ConstandaC. Elastic Boundary Conditions in the Theory of Plates. Math. Mech. Solids 2, 1997, pp. 189–197.
  • ConstandaC. Fredholm Equations of the First Kind in the Theory of Bending of Elastic Plates. Vol. 50, Quart. J. Mech. Appl. Math., 1997, pp. 85–96.
  • ConstandaC. On Boundary Value Problems Associated With Newton’s Law of Cooling. Vol. 20, Appl. Math. Lett., 1997, pp. 55–59.
  • ConstandaC. On the Dirichlet Problem for the Biharmonic Equation. Vol. 20, Math. Methods Appl. Sci., 1997, pp. 885–890.
  • ConstandaC., and ChudinovichI. Weak Solutions of Interior Boundary Value Problems for Plates With Transverse Shear Deformation. Vol. 59, IMA J. Appl. Math., 1997, pp. 85–94.
  • ConstandaC. On the Direct and Indirect Methods in the Theory of Elastic Plates. Vol. 1, Math. Mech. Solids, 1996, pp. 251–260.
  • ConstandaC. Unique Solution in the Theory of Elastic Plates. Vol. 323, C.R. Acad. Sci. Paris Ser. I, 1996, pp. 95–99.
  • ConstandaC. Integral Equations of the First Kind in Plane Elasticity. Vol. 53, Quart. Appl. Math., 1995, pp. 783–793.
  • ConstandaC., LoboM., and PerezM. On the Bending of Plates With Transverse Shear Deformation and Mixed Periodic Boundary Conditions. Vol. 18, Math. Methods Appl. Sci., 1995, pp. 337–344.
  • ConstandaC. The Boundary Integral Equation Method in Plane Elasticity. Vol. 123, Proc. Amer. Math. Soc., 1995, pp. 3385–3396.
  • ConstandaC., and SchiavoneP. Flexural Waves in Mindlin-Type Plates. Vol. 74, J. Appl. Math. Mech., 1994, pp. 492–493.
  • ConstandaC. On Integral Solutions of the Equations of Thin Plates. Vol. 444, Proc. Roy. Soc. London Ser. A, 1994, pp. 317–323.
  • ConstandaC. On Non-Unique Solutions of Weakly Singular Integral Equations in Plane Elasticity. Vol. 47, Quart. J. Mech. Appl. Math., 1994, pp. 261–268.
  • ConstandaC., and PerezM. Wave Propagation in Thin Crystal Plates. Vol. 32, Internat. J. Engrg. Sci., 1994, pp. 715–717.
  • ConstandaC., and ConstandaD. On a Numerical Algorithm for Approximating the Solution in the Theory of Mindlin Plates. Vol. 13, Libertas Math., 1993, pp. 69–76.
  • ConstandaC. On the Solution of the Dirichlet Problem for the Two-Dimensional Laplace Equation. Vol. 119, Proc. Amer. Math. Soc., 1993, pp. 877–884.
  • ConstandaC., and SchiavoneP. Oscillation Problems in Thin Plates With Transverse Shear Deformation. Vol. 53, SIAM J. Appl. Math., 1993, pp. 1253–1263.
  • ConstandaC. Sur Le Probleme De Dirichlet Dans La Deformation Plane. Vol. 316, C.R. Acad. Sci. Paris Ser. I, 1993, pp. 1107–1109.
  • ConstandaC. On Kupradze’s Method of Approximate Solution in Linear Elasticity. Vol. 39, Bull. Polish Acad. Sci. Math., 1991, pp. 201–204.
  • ConstandaC. Complete Systems of Functions for the Exterior Dirichlet and Neumann Problems in the Theory of Mindlin-Type Plates. Vol. 3, Appl. Math. Lett., 1990, pp. 21–23.
  • ConstandaC. Smoothness of Elastic Potentials in the Theory of Bending of Thin Plates. Vol. 70, J. Appl. Math. Mech., 1990, pp. 144–147.
  • ConstandaC. Differentiability of the Solution of a System of Singular Integral Equations in Elasticity. Vol. 34, Appl. Anal., 1989, pp. 183–193.
  • ConstandaC., and SchiavoneP. Existence Theorems in the Theory of Bending of Micropolar Plates. Vol. 27, Internat. J. Engrg. Sci., 1989, pp. 463–468.
  • ConstandaC. Potentials With Integrable Density in the Solution of Bending of Thin Plates. Vol. 2, Appl. Math. Lett., 1989, pp. 221–223.
  • ConstandaC., and SchiavoneP. Uniqueness in the Elastostatic Problem of Bending of Micropolar Plates. Vol. 41, Arch. Mech., 1989, pp. 781–787.
  • ConstandaC. Asymptotic Behaviour of the Solution of Bending of a Thin Infinite Plate. Vol. 39, J. Appl. Math. Phys., 1988, pp. 852–860.
  • ConstandaC. On Complex Potentials in Elasticity Theory. Vol. 72, Acta Mech., 1988, pp. 161–171.
  • ConstandaC. Uniqueness in the Theory of Bending of Elastic Plates. Vol. 25, Internat. J. Engrg. Sci., 1987, pp. 455–462.
  • ConstandaC. Existence and Uniqueness in the Theory of Bending of Elastic Plates. Vol. 29, Proc. Edinburgh Math. Soc., 1986, pp. 47–56.
  • ConstandaC. Fonctions De Tension Dans Un Probleme De La Theorie De l’elasticite. Vol. 303, C.R. Acad. Sci. Paris Ser. II, 1986, pp. 1405–1408.
  • ConstandaC. Sur Les Formules De Betti Et De Somigliana Dans La Flexion Des Plaques Elastiques. Vol. 300, C.R. Acad. Sci. Paris Ser. I, 1985, pp. 157–160.
  • ConstandaC. The Boundary Integral Equation Method in the Problem of Bending of Thin Plates. Vol. 5, Libertas Math., 1985, pp. 85–101.
  • ConstandaC. A Generalization of the Stability Concept. Vol. 1, Libertas Math., 1981, pp. 165–172.
  • ConstandaC. Bending of Thin Plates in Mixture Theory. Vol. 40, Acta Mech., 1981, pp. 109–115.
  • ConstandaC. Bending of Thin Plates in the Theory of Elastic Mixtures. Vol. 33, Arch. Mech., 1981, pp. 3–10.
  • ConstandaC. On the Stability of the Generalized Solution of a Certain Class of Evolution Equations. Vol. 27, Bull. Polish Acad. Sci. Math., 1979, pp. 345–348.
  • ConstandaC. Some Comments on the Integration of Certain Systems of Partial Differential Equations in Continuum Mechanics. Vol. 29, J. Appl. Math. Phys., 1978, pp. 835–839.
  • ConstandaC. Complex Variable Treatment of Bending of Micropolar Plates. Vol. 15, Internat. J. Engrg. Sci., 1977, pp. 661–669.
  • ConstandaC. Su l’esistenza Della Soluzione Per La Flessione Delle Piastre Elastiche Micropolari. Vol. 58, Rend. Sem. Mat. Univ. Padova, 1977, pp. 149–153.
  • ConstandaC. Existence and Uniqueness in the Theory of Micropolar Elasticity. Vol. 25, Stud. Cerc. Mat., 1974, pp. 1075–1093.
  • ConstandaC. Existence of the Solution to a Dynamic Problem in Micropolar Elasticity. Vol. 26, Stud. Cerc. Mat., 1974, pp. 1197–1208.
  • ConstandaC. La Deformation Des Coques Elastiques Micropolaires. Vol. 20, An. Stiint. Univ. Al.I. Cuza Iasi Sect. Ia Mat., 1974, pp. 209–217.
  • ConstandaC. On the Bending of Micropolar Plates. Vol. 2, Lett. Appl. Engrg. Sci., 1974, pp. 329–339.
  • ConstandaC. Sur La Flexion Des Plaques Elastiques Micropolaires. Vol. 278, C.R. Acad. Sci. Paris Ser. A, 1974, pp. 1267–1269.
  • ConstandaC., and DotyD. The Exterior Dirichlet Problem for Elastic Plates.

Conference Proceedings

  • ConstandaC., ChudinovichI., DotyD., HamillW., and PomeranzS. “On a Boundary Value Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation”. Proceedings of the Thirteenth International Symposium on Methods of Discrete Singularities in Problems of Mathematical Physics, Khar’kov-Kherson, 2007, pp. 358–361.
  • ChudinovichI., ConstandaC., DotyD., HamillW., and PomeranzS. The Dirichlet Problem for the Plane Deformation of a Thin Plate on an Elastic Foundation. The Ninth International Conference on Integral Methods in Science and Engineering (IMSE 2006) Proceedings, 2007, pp. 83-88.
  • PomeranzS., LewisG., and ConstandaC. A Contact Problem for a Convection Diffusion Equation. The Eighth International Conference on Integral Methods in Science and Engineering (IMSE 2004) Proceedings, 2005, pp. 235-44.
  • ConstandaC., and ChudinovichI. “Direct and Inverse Problems for Thermoelastic Plates. I. The Study of Bending”. Proceedings of the Fifth International Conference on Inverse Problems in Engineering: Theory and Practice, Vol. I, Leeds Univ. Press, 2005, p. C04.
  • ConstandaC., and ChudinovichI. “Solvability of Boundary Integral Equations Arising in Bending of Thin Thermoelastic Plates”. Proceedings of the Twelfth International Symposium on Discrete Singularity Methods in Problems of Mathematical Physics, Khar’kov-Kherson, 2005, pp. 377–380.
  • ConstandaC. “The Rigorous Solution of Plane Elastic Strain”. Proceedings of CANCAM95, Vol. 1, University of Victoria Press, 1995, pp. 180–181.
  • ConstandaC. “Numerical Approximation in the Theory of Plates With Transverse Shear Deformation”. Proceedings of the Sixth European Conference on Mathematics in Industry, Teubner, Stuttgart, 1992, pp. 129–132.
  • ConstandaC. “A Problem With Moments in Elasticity Theory”. Proceedings of the Third Conference on Applied Mathematics, Edmond, OK, 1987, pp. 111–118.

Books

  • ConstandaC. Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations. Birkhauser, 2019.
  • ConstandaC. Differential Equations: A Primer for Scientists and Engineers. Springer, 2017.
  • ConstandaC. Integral Methods in Science and Engineering: Practical Applications. Birkhauser, 2017.
  • ConstandaC. Integral Methods in Science and Engineering: Theoretical Techniques. Birkhauser, 2017.
  • ConstandaC. Mathematical Methods for Elastic Plates. Springer, 2016.
  • ConstandaC. Solution Techniques for Elementary Partial Differential Equations. Taylor & Francis, 2016.
  • Integral Methods in Science and Engineering: Analytic and Numerical Advances, Birkhauser, New York, 2015 (editor, with A. Kirsch).

  • Constanda, Christian. Mathematical Methods for Elastic Plates. Springer, 2014. Print.

  • Constanda, Christian. Differential Equations: A Primer for Scientists and Engineers. Springer, 2013. Print.

  • Constanda, Christian. Integral Methods in Science and Engineering. Progress in Numerical and Analytic Techniques. Ed. Christian Constanda, B.E.J. Bodmann, and H.F. de Campos Velho. Birkhauser, 2013. Print.

  • ConstandaC. Integral Methods in Science and Engineering. Computational and Analytic Aspects. Birkhauser, 2011.
  • ConstandaC., and ThomsonG. Stationary Oscillations of Elastic Plates. A Boundary Integral Equation Analysis. Birkhauser, 2011.
  • ConstandaC. “Integral Methods in Science and Engineering”. Integral Methods in Science and Engineering, Vol. 2: Computational Methods, Birkhauser, 2010.
  • Integral Methods in Science and Engineering. Vol. 1: Analytic Methods, Birkhauser, Boston, 2010 (editor, with M.E. Perez).

  • ConstandaC. Solution Techniques for Elementary Partial Differential Equations. CRC Press, 2010.
  • ConstandaC. Dude, Can You Count? Stories, Challenges and Adventures in Mathematics. Springer, 2009.
  • ConstandaC. Integral Methods in Science and Engineering: Techniques and Applications. Birkhauser, 2008.
  • ConstandaC. Integral Methods in Science and Engineering: Theoretical and Practical Aspects. Birkhauser, 2006.
  • ConstandaC. Integral Methods in Science and Engineering: Analytic and Numerical Methods. Birkhauser, 2004.
  • ConstandaC. Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes. Springer, 2004.
  • ConstandaC. Integral Methods in Science and Engineering. Birkhauser, 2002.
  • ConstandaC. Solution Techniques for Elementary Partial Differential Equations. Chapman & Hall/CRC, 2000.
  • ConstandaC. Variational and Potential Methods in the Theory of Bending of Plates With Transverse Shear Deformation. Chapman & Hall/CRC, 2000.
  • ConstandaC. Integral Methods in Science and Engineering. Chapman & Hall/CRC, 2000.
  • ConstandaC. Direct and Indirect Boundary Integral Equation Methods. Chapman & Hall/CRC, 1999.
  • ConstandaC. “Integral Methods in Science and Engineering”. Integral Methods in Science and Engineering, Vol. 2: Approximation Methods, Addison Wesley Longman, 1997.
  • ConstandaC. Analysis, Numerics and Applications of Differential and Integral Equations. Addison Wesley Longman, 1997.
  • ConstandaC. “Integral Methods in Science and Engineering”. Integral Methods in Science and Engineering, Vol. 1: Analytic Methods, Addison Wesley Longman, 1997.
  • ConstandaC. Encyclopedia of Mathematical Sciences. Vol. 65, Springer, 1996.
  • ConstandaC. Integral Methods in Science and Engineering. Longman/Wiley, 1994.
  • ConstandaC. A Mathematical Analysis of Bending of Plates With Transverse Shear Deformation. Longman/Wiley, 1990.
  • ConstandaC. Relay Control Systems. Cambridge University Press, 1984.
  • ConstandaC., DotyD., and HamillW. Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation. Springer, 1900.
  • ConstandaC. Solution Techniques for Elementary Partial Differential Equations. Chapman & Hall/CRC, 1900.
  • ConstandaC., and DotyD. The Generalized Fourier Series Method: Bending of Elastic Plates. Springer, p. 230.
  • Constanda, Christian. Solution Techniques for Elementary Partial Differential Equations. CRC Press, 2010. Print.

Book Chapters

  • ConstandaC., and DotyD. “Bending of Elastic Plates: Generalized Fourier Series Method for the Robin Problem”. Integral Methods in Science and Engineering: Analytic Treatment and Numerical Approximations, Birkhauser, 2019.
  • Constanda, Christian, and G.R. Thomson. “Modified Integral Equation Method for Stationary Plate Oscillations.” Integral Methods in Science and Engineering. Progress in Numerical and Analytic Techniques. Birkhauser, 2013. 297–309. Print.

  • Constanda, C., Doty, D., Thomson, G. R., “Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates”, in Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques, Birkhauser, Boston, 2013, 311-–328.

  • ConstandaC., and ThomsonG. “Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates”. Integral Methods in Science and Engineering. Progress in Numerical and Analytic Techniques, Birkhauser, 2013, pp. 311–328.
  • ConstandaC., and ChudinovichI. “Thermoelastic Plates With Arc-Shaped Cracks”. Integral Methods in Science and Engineering. Computational and Analytic Aspects, Birkhauser, 2011, pp. 129–140.
  • ConstandaC., and ChudinovichI. “Contact Problems in Bending of Thermoelastic Plates”. Integral Methods in Science and Engineering, Vol. 1: Analytic Methods, Birkhauser, 2010, pp. 115–122.
  • ConstandaC., ChudinovichI., DotyD., and KoshchiiA. “Solution Estimates in Classical Bending of Plates”. Integral Methods in Science and Engineering, Vol. 2: Computational Methods, Birkhauser, 2010, pp. 113–120.
  • ConstandaC., and ChudinovichI. “Contact Problems in Bending of Elastic Plates”. Advances in Computational and Experimental Engineering and Sciences, Tech Science Press, 2008, pp. 159–165.
  • ConstandaC., and ChudinovichI. “Direct Methods in the Theory of Thermoelastic Plates”. Integral Methods in Science and Engineering: Techniques and Applications, Birkhauser, 2008, pp. 75–81.
  • ConstandaC., and ChudinovichI. Layer Potentials in Thermodynamic Bending of Elastic Plates. Integral Methods in Science and Engineering: Techniques and Applications, 2008, pp. 63–73.
  • ConstandaC., and ChudinovichI. “Mixed Initial-Boundary Value Problems for Thermoelastic Plates”. Integral Methods in Science and Engineering: Theoretical and Practical Aspects, Birkhauser, 2006, pp. 37–45.
  • ConstandaC., and ChudinovichI. “The Cauchy Problem in the Bending of Thermoelastic Plates”. Integral Methods in Science and Engineering: Theoretical and Practical Aspects, Birkhauser, 2006, pp. 29–35.
  • ConstandaC., ChudinovichI., and KoshchiiA. “Dual Methods for Sensor Testing of Industrial Containers. I. The Classical Approach”. Computational Advances in Multi-Sensor Adaptive Processing, IEEE, 2005, pp. 71–73.
  • ConstandaC., ChudinovichI., DotyD., and KoshchiiA. “Dual Methods for Sensor Testing of Industrial Containers. II. A Nonclassical Approach”. Computational Advances in Multi-Sensor Adaptive Processing, IEEE, 2005, pp. 74–76.
  • ConstandaC., MitricR., and SchiavoneP. “Integral Methods for Mechanical Sensor Design and Performance Testing in Plates With Transverse Shear Deformation and Transverse Normal Strain”. Computational Advances in Multi-Sensor Adaptive Processing, IEEE, 2005, pp. 77-80.
  • ConstandaC., and MitricR. “Analytic Solution for an Enhanced Theory of Bending of Plates”. Integral Methods in Science and Engineering: Analytic and Numerical Techniques, Birkhauser, 2004, pp. 151–156.
  • ConstandaC., and ChudinovichI. “Boundary Integral Equations for Thermoelastic Plates”. Advances in Computational and Experimental Engineering and Science, Tech. Science Press, 2004, pp. 183–188.
  • ConstandaC., and ChudinovichI. “Time-Dependent Bending of a Plate With Mixed Boundary Conditions”. Integral Methods in Science and Engineering, Birkhauser, 2004, pp. 41–46.
  • ConstandaC., and MitricR. “An Enhanced Theory of Bending of Plates”. Integral Methods in Science and Engineering, Birkhauser, 2002, pp. 191–196.
  • ConstandaC., and RuotsalainenK. “An Initial-Boundary Value Problem for Elastic Plates”. Integral Methods in Science and Engineering, Birkhauser, 2002, pp. 63–68.
  • ConstandaC., KiddJ., StewartI., and MackenzieJ. “Connection Between Liquid Crystal Theory and the Theory of Plates”. Integral Methods in Science and Engineering, Birkhauser, 2002, pp. 137–142.
  • ConstandaC., and ThomsonG. “Stationary Oscillations of Elastic Plates With Robin Boundary Conditions”. Integral Methods in Science and Engineering, 2000, pp. 316–321.
  • ConstandaC., and ChudinovichI. “Time-Dependent Bending of Plates With Transverse Shear Deformation”. Integral Methods in Science and Engineering, Chapman & Hall/CRC, 2000, pp. 84–89.
  • ConstandaC. “A Comparison of Integral Methods in Plate Theory”. Analysis, Numerics and Applications of Differential and Integral Equations, Addison Wesley Longman, 1997, pp. 64–68.
  • ConstandaC., and ThomsonG. “On Stationary Oscillations in Bending of Plates”. Integral Methods in Science and Engineering, Vol. 1: Analytic Methods, Addison Wesley Longman, 1997, pp. 190–194.
  • ConstandaC. “Robin-Type Conditions in Plane Strain”. Integral Methods in Science and Engineering, Vol. 1: Analytic Methods, Addison Wesley Longman, 1997, pp. 55–59.
  • ConstandaC. “Solution of the Plate Equations by Means of Modified Potentials”. Integral Methods in Science and Engineering, Addison Wesley Longman, 1994, pp. 133–145.
  • ConstandaC. “The Rigorous Solution of the Classical Theory of Plates”. Integral Methods in Science and Engineering, Hemisphere, 1991, pp. 184–190.
  • ConstandaC. “Bending of Elastic Plates”. Integral Methods in Science and Engineering, Hemisphere, 1986, pp. 340–348.
  • ConstandaC. “Wave Propagation in Thin Plates of Elastic Mixtures”. Applied Mathematical Analysis: Vibration Theory, Shiva Publishing, 1982, pp. 16–22.
  • ConstandaC., and DotyD. “The Characteristic Matrix of Nonuniqueness for First-Kind Equations”. Integral Methods in Science and Engineering: Theoretical and Computational Advances, Birkhauser, 1900, pp. 111–118.
  • ConstandaC., and DotyD. “The Displacement Boundary Value Problem for a Plate With a Circular Hole”. Integral Methods in Science and Engineering: Theoretical and Numerical Advances, Birkhauser.

Courses Taught

  • Differential Equations
  • Intro to Partial Differential Equations
  • Introduction to Partial Differential Equations
  • Applied Functional Analysis
  • Seminar in Mathematics
  • Advanced Differential Equations
  • Independent Study

Professional Affiliations

  • American Mathematical Society
  • Edinburgh Mathematical Society
  • London Mathematical Society

Awards & Honors

  • Outstanding Teacher Award