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Christian Constanda PhD

Charles W. Oliphant Endowed Professor of Mathematics College of Engineering & Natural Sciences
Mathematics
Keplinger Hall 3225 918-631-3068
christian-constanda@utulsa.edu
faculty-photo

Biography

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.



Ph.D., Romanian Academy of Sciences
M.Sc., University of IASI
DSc, University of Strathclyde


Boundary Integral Methods
Mathematical Theory of Elasticity

Differential Equations
Partial Differential Equations
Applied Functional Analysis
Advanced Differential Equations


The following may be selected publications rather than a comprehensive list.

Journal Articles


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.

Constanda, Christian, and G.R. Thomson. “Integral Equations of the First Kind in the Theory of Oscillating Plates.” Applicable Anal. 91 (2012): 2235–2244. Print.

Constanda, Christian, and G.R. Thomson. “The Null Field Equations for Flexural Oscillations of Elastic Plates.” Math. Methods Appl. Sci. 35 (2012): 510–519. Print.

Constanda, Christian, and G.R. Thomson. “Uniqueness of Analytic Solutions for Stationary Plate Oscillations in an Annulus.” Appl. Math. Lett. 25 (2012): 1050–1055. Print.

Constanda, Christian, and G.R. Thomson. “Uniqueness of Solution in the Robin Problem for High-Frequency Vibrations of Elastic Plates.” Appl. Math. Lett. 24 (2011): 577–581. Print.

Constanda, Christian, and G.R. Thomson. “The Direct Method for Harmonic Oscillations of Elastic Plates with Robin Boundary Conditions.” Math. Mech. Solids 16 (2010): 200–207. Print.

Constanda, Christian et al. “The Dirichlet Problem for a Plate on an Elastic Foundation.” Libertas Math. 30 (2010): 81–84. Print.

Constanda, Christian, and I. Chudinovich. “Transmission Problems for Thermoelastic Plates with Transverse Shear Deformation.” Math. Mech. Solids 15 (2010): 491–511. Print.

Constanda, Christian, and I. Chudinovich. “Boundary Integral Equations for Thermoelastic Plates with Cracks.” Math. Mech. Solids 15 (2010): 96–113. Print.

Constanda, Christian, and I. Chudinovich. “Boundary Integral Equations for Bending of Thermoelastic Plates with Transmission Boundary Conditions.” Math. Methods Appl. Sci. 33 (2010): 117–124. Print.

Constanda, Christian, and I. Chudinovich. “The Traction Initial-Boundary Value Problem for Bending of Thermoelastic Plates with Cracks.” Applicable Anal. 88 (2009): 961–975. Print.

Constanda, Christian, and G.R. Thomson. “The Eigenfrequencies of the Dirichlet and Neumann Problems for an Oscillating Finite Plate.” Math. Mech. Solids 14 (2009): 667–678. Print.

Constanda, Christian, and G.R. Thomson. “Integral Equation Methods for the Robin Problem in Stationary Oscillations of Elastic Plates.” IMA J. Appl. Math. 74 (2009): 548–558. Print.

Constanda, Christian, and G.R. Thomson. “A Matrix of Fundamental Solutions in the Theory of Plate Oscillations.” Appl. Math. Letters 22 (2009): 707–711. Print.

Constanda, Christian, and I. Chudinovich. “The Displacement Initial-Boundary Value Problem for Bending of Thermoelastic Plates Weakened by Cracks.” J. Math. Anal. Appl. 348 (2008): 286–297. Print.

Constanda, Christian, and I. Chudinovich. “Boundary Integral Equations in Time-Dependent Bending of Thermoelastic Plates.” J. Math. Anal. Appl. 339 (2008): 1024–1043. Print.

Constanda, Christian, and G.R. Thomson. “Smoothness Properties of Newtonian Potentials in the Study of Elastic Plates.” Applicable Anal. 87 (2008): 349–361. Print.

Constanda, Christian, and I. Chudinovich. “Boundary Integral Equations in Bending of Thermoelastic Plates with Mixed Boundary Conditions.” J. Integral Equations Appl. 20 (2008): 311–336. Print.

Constanda, Christian, I. Chudinovich, and L.A. Aguilera-Cortes. “The Direct Method in Time-Dependent Bending of Thermoelastic Plates.” Applicable Anal. 86 (2007): 315–329. Print.

Constanda, Christian, and R. Mitric. “Boundary Integral Equation Methods for a Refined Model of Elastic Plates.” Math. Mech. Solids 11 (2006): 642–654. Print.

Constanda, Christian, I. Chudinovich, and J. Venegas. “On the Cauchy Problem for Thermoelastic Plates.” Math. Methods Appl. Sci. 29 (2006): 625–636. Print.

Constanda, Christian, and I. Chudinovich. “Potential Representations of Solutions for Dynamic Bending of Elastic Plates Weakened by Cracks.” Math. Mech. Solids 11 (2006): 494–512. Print.

Constanda, Christian et al. “Nonclassical Dual Methods in Equilibrium Problems for Thin Elastic Plates.” Quart. J. Mech. Appl. Math. 59 (2006): 125–137. Print.

Pomeranz, Shirley, Gilbert Lewis, and Christian Constanda. “Iterative Solution of a Singular Convection-Diffusion Perturbation Problem.” ZAMP, The Journal of Applied Mathematics & Physics 56 (2005): 890–907. Print.

Constanda, Christian, I. Chudinovich, and J. Venegas. “Solvability of Initial-Boundary Value Problems for Bending of Thermoelastic Plates with Mixed Boundary Conditions.” J. Math. Anal. Appl. 311 (2005): 357–376. Print.

Constanda, Christian, and R. Mitric. “Integration of an Equilibrium System in an Enhanced Theory of Bending of Elastic Plates.” J. Elasticity 81 (2005): 63–74. Print.

Constanda, Christian, I. Chudinovich, and O. Dolberg. “On the Laplace Transform of a Matrix of Fundamental Solutions for Thermoelastic Plates.” J. Engng. Math. 51 (2005): 199–209. Print.

Constanda, Christian, I. Chudinovich, and J. Venegas. “The Cauchy Problem in the Theory of Thermoelastic Plates with Transverse Shear Deformation.” J. Integral Equations Appl. 16 (2004): 321–342. Print.

Constanda, Christian, I. Chudinovich, and E.A. Gomez. “Weak Solutions for Time-Dependent Boundary Integral Equations Associated with the Bending of Elastic Plates under Combined Boundary Data.” Math. Methods Appl. Sci. 27 (2004): 769–780. Print.

Constanda, Christian, I. Chudinovich, and E.A. Gomez. “Nonstationary Boundary Equations for Plates with Transverse Shear Deformation and Elastic Articulation of the Boundary.” Acta Mech. 167 (2004): 91–100. Print.

Constanda, Christian, and I. Chudinovich. “Integral Representations for the Solution of Dynamic Bending of a Plate with Displacement-Traction Boundary Data.” Georgian Math. J. 10 (V.D. Kupradze memorial volume) (2003): 467–480. Print.

Constanda, Christian, and I. Chudinovich. “Time-Dependent Boundary Integral Equations for Multiply Connected Plates.” IMA J. Appl. Math. 68 (2003): 507–522. Print.

Constanda, Christian, and G.R. Thomson. “A Matrix of Fundamental Solutions for Stationary Oscillations of Thermoelastic Plates.” Izv. Vyssh. Uchebn. Zaved. Sev.-Kavk. Reg. Estestv. Nauki special issue (2003): 77–82. Print.

Constanda, Christian, and I. Chudinovich. “Boundary Integral Equations in Dynamic Contact Problems for Plates.” Visnik Kharkiv. Nats. Univ. Ser. Mat. Model. Inform. Tekh. Avtomat. Sist. Upravl. 590 (2003): 240–243. Print.

Constanda, Christian, and I. Chudinovich. “Dynamic Transmission Problems for Plates.” J. Appl. Math. Phys. 53 (2002): 1060–1074. Print.

Constanda, Christian, and I. Chudinovich. “Boundary Integral Equations in Dynamic Problems for Elastic Plates.” J. Elasticity 68 (2002): 73–94. Print.

Constanda, Christian, and I. Chudinovich. “The Solvability of Boundary Integral Equations for the Dirichlet and Neumann Problems in the Theory of Thin Elastic Plates.” Math. Mech. Solids 6 (2001): 269–279. Print.

Constanda, Christian, and I. Chudinovich. “Combined Displacement-Traction Boundary Value Problems for Elastic Plates.” Math. Mech. Solids 6 (2001): 175–191. Print.

Constanda, Christian, J.E. Kidd, and I.W. Stewart. “Freedericksz Transitions in Circular Toroidal Layers of Smectic C Liquid Crystal.” IMA J. Appl. Math. 66 (2001): 387–409. Print.

Constanda, Christian, and I. Chudinovich. “The Transmission Problem in Bending of Plates with Transverse Shear Deformation.” IMA J. Appl. Math. 66 (2001): 215–229. Print.

Constanda, Christian, and I. Chudinovich. “Solvability of Initial-Boundary Value Problems in Bending of Plates.” J. Appl. Math. Phys. 51 (2000): 449–466. Print.

Constanda, Christian, and I. Chudinovich. “Solution of Bending of Elastic Plates by Means of Area Potentials.” J. Appl. Math. Mech. 80 (2000): 547–553. Print.

Constanda, Christian, and I. Chudinovich. “Existence and Uniqueness of Weak Solutions for a Thin Plate with Elastic Boundary Conditions.” Appl. Math. Lett. 13.3 (2000): 43–49. Print.

Constanda, Christian, and I. Chudinovich. “Integral Representations of the Solution for a Plate on an Elastic Foundation.” Acta Mech. 139 (2000): 33–42. Print.

Constanda, Christian, and I. Chudinovich. “Boundary Integral Equations for Multiply Connected Plates.” J. Math. Anal. Appl. 244 (2000): 184–199. Print.

Constanda, Christian, I. Chudinovich, and A. Koshchii. “The Classical Approach to Dual Methods for Plates.” Quart. J. Mech. Appl. Math. 53 (2000): 497–510. Print.

Constanda, Christian, and I. Chudinovich. “The Cauchy Problem in the Theory of Plates with Transverse Shear Deformation.” Math. Models Methods Appl. Sci. 10 (2000): 463–477. Print.

Constanda, Christian, and G.R. Thomson. “Scattering of High Frequency Flexural Waves in Thin Plates.” Math. Mech. Solids 4 (1999): 461–479. Print.

Constanda, Christian, and I. Chudinovich. “Non-Stationary Integral Equations for Elastic Plates.” C.R. Acad. Sci. Paris Ser. I 329 (1999): 1115–1120. Print.

Constanda, Christian, and I. Chudinovich. “Existence and Integral Representations of Weak Solutions for Elastic Plates with Cracks.” J. Elasticity 55 (1999): 169–191. Print.

Constanda, Christian, and I. Chudinovich. “Displacement-Traction Boundary Value Problems for Elastic Plates with Transverse Shear Deformation.” J. Integral Equations Appl. 11 (1999): 421–436. Print.

Constanda, Christian, and G.R. Thomson. “Representation Theorems for the Solutions of High Frequency Harmonic Oscillations in Elastic Plates.” Appl. Math. Lett. 11.5 (1998): 55–59. Print.

Constanda, Christian, and I. Chudinovich. “Variational Treatment of Exterior Boundary Value Problems for Thin Elastic Plates.” IMA J. Appl. Math. 61 (1998): 141–153. Print.

Constanda, Christian, and G.R. Thomson. “Area Potentials for Thin Plates.” An. Stiint. Al.I. Cuza Univ. Iasi Sect. Ia Mat. 44 (1998): 235–244. Print.

Constanda, Christian. “Composition Formulae for Boundary Operators.” SIAM Rev. 40 (1998): 128–132. Print.

Constanda, Christian. “Radiation Conditions and Uniqueness for Stationary Oscillations in Elastic Plates.” Proc. Amer. Math. Soc. 126 (1998): 827–834. Print.

Constanda, Christian. “On the Dirichlet Problem for the Biharmonic Equation.” Math. Methods Appl. Sci. 20 (1997): 885–890. Print.

Constanda, Christian. “On Boundary Value Problems Associated with Newton’s Law of Cooling.” Appl. Math. Lett. 20.5 (1997): 55–59. Print.

Constanda, Christian. “Fredholm Equations of the First Kind in the Theory of Bending of Elastic Plates.” Quart. J. Mech. Appl. Math. 50 (1997): 85–96. Print.

Constanda, Christian. “Elastic Boundary Conditions in the Theory of Plates.” Math. Mech. Solids 2 (1997): 189–197. Print.

Constanda, Christian, and I. Chudinovich. “Weak Solutions of Interior Boundary Value Problems for Plates with Transverse Shear Deformation.” IMA J. Appl. Math. 59 (1997): 85–94. Print.

Constanda, Christian. “Unique Solution in the Theory of Elastic Plates.” C.R. Acad. Sci. Paris Ser. I 323 (1996): 95–99. Print.

Constanda, Christian. “On the Direct and Indirect Methods in the Theory of Elastic Plates.” Math. Mech. Solids 1 (1996): 251–260. Print.

Constanda, Christian. “The Boundary Integral Equation Method in Plane Elasticity.” Proc. Amer. Math. Soc. 123 (1995): 3385–3396. Print.

Constanda, Christian, M. Lobo, and M.E. Perez. “On the Bending of Plates with Transverse Shear Deformation and Mixed Periodic Boundary Conditions.” Math. Methods Appl. Sci. 18 (1995): 337–344. Print.

Constanda, Christian. “Integral Equations of the First Kind in Plane Elasticity.” Quart. Appl. Math. 53 (1995): 783–793. Print.

Constanda, Christian. “On Integral Solutions of the Equations of Thin Plates.” Proc. Roy. Soc. London Ser. A 444 (1994): 317–323. Print.

Constanda, Christian, and P. Schiavone. “Flexural Waves in Mindlin-Type Plates.” J. Appl. Math. Mech. 74 (1994): 492–493. Print.

Constanda, Christian, and M.E. Perez. “Wave Propagation in Thin Crystal Plates.” Internat. J. Engrg. Sci. 32 (1994): 715–717. Print.

Constanda, Christian. “On Non-Unique Solutions of Weakly Singular Integral Equations in Plane Elasticity.” Quart. J. Mech. Appl. Math. 47 (1994): 261–268. Print.

Constanda, Christian. “Sur Le Probleme De Dirichlet Dans La Deformation Plane.” C.R. Acad. Sci. Paris Ser. I 316 (1993): 1107–1109. Print.

Constanda, Christian, and P. Schiavone. “Oscillation Problems in Thin Plates with Transverse Shear Deformation.” SIAM J. Appl. Math. 53 (1993): 1253–1263. Print.

Constanda, Christian, and D. Constanda. “On a Numerical Algorithm for Approximating the Solution in the Theory of Mindlin Plates.” Libertas Math. 13 (1993): 69–76. Print.

Constanda, Christian. “On the Solution of the Dirichlet Problem for the Two-Dimensional Laplace Equation.” Proc. Amer. Math. Soc. 119 (1993): 877–884. Print.

Constanda, Christian. “On Kupradze’s Method of Approximate Solution in Linear Elasticity.” Bull. Polish Acad. Sci. Math. 39 (1991): 201–204. Print.

Constanda, Christian. “Smoothness of Elastic Potentials in the Theory of Bending of Thin Plates.” J. Appl. Math. Mech. 70 (1990): 144–147. Print.

Constanda, Christian. “Complete Systems of Functions for the Exterior Dirichlet and Neumann Problems in the Theory of Mindlin-Type Plates.” Appl. Math. Lett. 3.2 (1990): 21–23. Print.

Constanda, Christian, and P. Schiavone. “Existence Theorems in the Theory of Bending of Micropolar Plates.” Internat. J. Engrg. Sci. 27 (1989): 463–468. Print.

Constanda, Christian, and P. Schiavone. “Uniqueness in the Elastostatic Problem of Bending of Micropolar Plates.” Arch. Mech. 41 (1989): 781–787. Print.

Constanda, Christian. “Potentials with Integrable Density in the Solution of Bending of Thin Plates.” Appl. Math. Lett. 2 (1989): 221–223. Print.

Constanda, Christian. “Differentiability of the Solution of a System of Singular Integral Equations in Elasticity.” Appl. Anal. 34 (1989): 183–193. Print.

Constanda, Christian. “On Complex Potentials in Elasticity Theory.” Acta Mech. 72 (1988): 161–171. Print.

Constanda, Christian. “Asymptotic Behaviour of the Solution of Bending of a Thin Infinite Plate.” J. Appl. Math. Phys. 39 (1988): 852–860. Print.

Constanda, Christian. “Uniqueness in the Theory of Bending of Elastic Plates.” Internat. J. Engrg. Sci. 25 (1987): 455–462. Print.

Constanda, Christian. “Existence and Uniqueness in the Theory of Bending of Elastic Plates.” Proc. Edinburgh Math. Soc. 29 (1986): 47–56. Print.

Constanda, Christian. “Fonctions De Tension Dans Un Probleme De La Theorie De l’Elasticite.” C.R. Acad. Sci. Paris Ser. II 303 (1986): 1405–1408. Print.

Constanda, Christian. “Sur Les Formules De Betti Et De Somigliana Dans La Flexion Des Plaques Elastiques.” C.R. Acad. Sci. Paris Ser. I 300 (1985): 157–160. Print.

Constanda, Christian. “The Boundary Integral Equation Method in the Problem of Bending of Thin Plates.” Libertas Math. 5 (1985): 85–101. Print.

Constanda, Christian. “Bending of Thin Plates in the Theory of Elastic Mixtures.” Arch. Mech. 33 (1981): 3–10. Print.

Constanda, Christian. “A Generalization of the Stability Concept.” Libertas Math. 1 (1981): 165–172. Print.

Constanda, Christian. “Bending of Thin Plates in Mixture Theory.” Acta Mech. 40 (1981): 109–115. Print.

Constanda, Christian. “On the Stability of the Generalized Solution of a Certain Class of Evolution Equations.” Bull. Polish Acad. Sci. Math. 27 (1979): 345–348. Print.

Constanda, Christian. “Some Comments on the Integration of Certain Systems of Partial Differential Equations in Continuum Mechanics.” J. Appl. Math. Phys. 29 (1978): 835–839. Print.

Constanda, Christian. “Complex Variable Treatment of Bending of Micropolar Plates.” Internat. J. Engrg. Sci. 15 (1977): 661–669. Print.

Constanda, Christian. “Su l’Esistenza Della Soluzione per La Flessione Delle Piastre Elastiche Micropolari.” Rend. Sem. Mat. Univ. Padova 58 (1977): 149–153. Print.

Constanda, Christian. “Existence of the Solution to a Dynamic Problem in Micropolar Elasticity.” Stud. Cerc. Mat. 26 (1974): 1197–1208. Print.

Constanda, Christian. “Existence and Uniqueness in the Theory of Micropolar Elasticity.” Stud. Cerc. Mat. 25 (1974): 1075–1093. Print.

Constanda, Christian. “Sur La Flexion Des Plaques Elastiques Micropolaires.” C.R. Acad. Sci. Paris Ser. A 278 (1974): 1267–1269. Print.

Constanda, Christian. “La Deformation Des Coques Elastiques Micropolaires.” An. Stiint. Univ. Al.I. Cuza Iasi Sect. Ia Mat. 20 (1974): 209–217. Print.

Constanda, Christian. “On the Bending of Micropolar Plates.” Lett. Appl. Engrg. Sci. 2 (1974): 329–339. Print.

Book Chapters


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.

Constanda, Christian, and G.R. Thomson. “Nonstandard Integral Equations for the Harmonic Oscillations of Thin Plates.” Integral Methods in Science and Engineering. Progress in Numerical and Analytic Techniques. Birkhauser, 2013. 311–328. Print.

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, Christian, and I. Chudinovich. “Thermoelastic Plates with Arc-Shaped Cracks.” Integral Methods in Science and Engineering. Computational and Analytic Aspects. Birkhauser, 2011. 129–140. Print.

Constanda, Christian et al. “Solution Estimates in Classical Bending of Plates.” Integral Methods in Science and Engineering. 2: Computational Methods. Birkhauser, 2010. 113–120. Print.

Constanda, Christian, and I. Chudinovich. “Contact Problems in Bending of Thermoelastic Plates.” Integral Methods in Science and Engineering. 1: Analytic Methods. Birkhauser, 2010. 115–122. Print.

Constanda, Christian, and I. Chudinovich. “Direct Methods in the Theory of Thermoelastic Plates.” Integral Methods in Science and Engineering: Techniques and Applications. Birkhauser, 2008. 75–81. Print.

Constanda, Christian, and I. Chudinovich. “Layer Potentials in Thermodynamic Bending of Elastic Plates.” Integral Methods in Science and Engineering: Techniques and Applications, 2008. 63–73. Print.

Constanda, Christian, and I. Chudinovich. “Contact Problems in Bending of Elastic Plates.” Advances in Computational and Experimental Engineering and Sciences. Tech Science Press, 2008. 159–165. Print.

Constanda, Christian, and I. Chudinovich. “The Cauchy Problem in the Bending of Thermoelastic Plates.” Integral Methods in Science and Engineering: Theoretical and Practical Aspects. Birkhauser, 2006. 29–35. Print.

Constanda, Christian, and I. Chudinovich. “Mixed Initial-Boundary Value Problems for Thermoelastic Plates.” Integral Methods in Science and Engineering: Theoretical and Practical Aspects. Birkhauser, 2006. 37–45. Print.

Constanda, Christian, I. Chudinovich, and A. Koshchii. “Dual Methods for Sensor Testing of Industrial Containers. I. The Classical Approach.” Computational Advances in Multi-Sensor Adaptive Processing. IEEE, 2005. 71–73. Print.

Constanda, Christian et al. “Dual Methods for Sensor Testing of Industrial Containers. II. A Nonclassical Approach.” Computational Advances in Multi-Sensor Adaptive Processing. IEEE, 2005. 74–76. Print.

Constanda, Christian, R. Mitric, and P. Schiavone. “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. 77–80. Print.

Constanda, Christian, and R. Mitric. “Analytic Solution for an Enhanced Theory of Bending of Plates.” Integral Methods in Science and Engineering: Analytic and Numerical Techniques. Birkhauser, 2004. 151–156. Print.

Constanda, Christian, and I. Chudinovich. “Time-Dependent Bending of a Plate with Mixed Boundary Conditions.” Integral Methods in Science and Engineering. Birkhauser, 2004. 41–46. Print.

Constanda, Christian, and I. Chudinovich. “Boundary Integral Equations for Thermoelastic Plates.” Advances in Computational and Experimental Engineering and Science. Tech. Science Press, 2004. 183–188. Print.

Constanda, Christian et al. “Connection between Liquid Crystal Theory and the Theory of Plates.” Integral Methods in Science and Engineering. Birkhauser, 2002. 137–142. Print.

Constanda, Christian, and R. Mitric. “An Enhanced Theory of Bending of Plates.” Integral Methods in Science and Engineering. Birkhauser, 2002. 191–196. Print.

Constanda, Christian, and K. Ruotsalainen. “An Initial-Boundary Value Problem for Elastic Plates.” Integral Methods in Science and Engineering. Birkhauser, 2002. 63–68. Print.

Constanda, Christian, and I. Chudinovich. “Time-Dependent Bending of Plates with Transverse Shear Deformation.” Integral Methods in Science and Engineering. Chapman & Hall/CRC, 2000. 84–89. Print.

Constanda, Christian, and G.R. Thomson. “Stationary Oscillations of Elastic Plates with Robin Boundary Conditions.” Integral Methods in Science and Engineering. 2000. 316–321. Print.

Constanda, Christian, and G.R. Thomson. “On Stationary Oscillations in Bending of Plates.” Integral Methods in Science and Engineering. 1: Analytic Methods. Addison Wesley Longman, 1997. 190–194. Print.

Constanda, Christian. “A Comparison of Integral Methods in Plate Theory.” Analysis, Numerics and Applications of Differential and Integral Equations. Addison Wesley Longman, 1997. 64–68. Print.

Constanda, Christian. “Robin-Type Conditions in Plane Strain.” Integral Methods in Science and Engineering. 1: Analytic Methods. Addison Wesley Longman, 1997. 55–59. Print.

Constanda, Christian. “Solution of the Plate Equations by Means of Modified Potentials.” Integral Methods in Science and Engineering. Addison Wesley Longman, 1994. 133–145. Print.

Constanda, Christian. “The Rigorous Solution of the Classical Theory of Plates.” Integral Methods in Science and Engineering. Hemisphere, 1991. 184–190. Print.

Constanda, Christian. “Bending of Elastic Plates.” Integral Methods in Science and Engineering. Hemisphere, 1986. 340–348. Print.

Constanda, Christian. “Wave Propagation in Thin Plates of Elastic Mixtures.” Applied Mathematical Analysis: Vibration Theory. Shiva Publishing, 1982. 16–22. Print.

Constanda, Christian, and Dale Doty. “The Characteristic Matrix of Nonuniqueness for First-Kind Equations.” Integral Methods in Science and Engineering: Theoretical and Computational Advances. Birkhauser, 1900. 111–118. Print.

Books


Integral Methods in Science and Engineering: Analytic and Numerical Advances, Birkhauser, New York, 2015 (editor, with A. Kirsch).

Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation, Springer, New York, 2015 (with D. Doty and W. Hamill).

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.

Constanda, Christian. Integral Methods in Science and Engineering. Computational and Analytic Aspects. Ed. Christian Constanda and P.J. Harris. Birkhauser, 2011. Print.

Constanda, Christian, and G.R. Thomson. Stationary Oscillations of Elastic Plates. A Boundary Integral Equation Analysis. Birkhauser, 2011. Print.

Constanda, Christian. Ed. Christian Constanda and M.E. Perez. 2: Computational Methods. Birkhauser, 2010. Print.

Integral Methods in Science and Engineering. Vol. 1: Analytic Methods, Birkhauser, Boston, 2010 (editor, with M.E. Perez).

Constanda, Christian. Solution Techniques for Elementary Partial Differential Equations. CRC Press, 2010. Print.

Constanda, Christian. Dude, Can You Count? Stories, Challenges and Adventures in Mathematics. Springer, 2009. Print.

Constanda, Christian. Integral Methods in Science and Engineering: Techniques and Applications. Ed. Christian Constanda and S. Potapenko. Birkhauser, 2008. Print.

Constanda, Christian. Integral Methods in Science and Engineering: Theoretical and Practical Aspects. Ed. Christian Constanda, Z. Nashed, and D. Rollins. Birkhauser, 2006. Print.

Constanda, Christian. Variational and Potential Methods for a Class of Linear Hyperbolic Evolutionary Processes. Ed. Christian Constanda and I. Chudinovich. Springer, 2004. Print.

Constanda, Christian. Integral Methods in Science and Engineering: Analytic and Numerical Methods. Ed. Christian Constanda, M. Ahues, and A. Largillier. Birkhauser, 2004. Print.

Constanda, Christian. Integral Methods in Science and Engineering. Ed. Christian Constanda, P. Schiavone, and A. Mioduchowski. Birkhauser, 2002. Print.

Constanda, Christian. Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation. Ed. Christian Constanda and I. Chudinovich. Chapman & Hall/CRC, 2000. Print.

Constanda, Christian. Solution Techniques for Elementary Partial Differential Equations. Chapman & Hall/CRC, 2000. Print.

Constanda, Christian. Integral Methods in Science and Engineering. Ed. Christian Constanda, B. Bertram, and A. Struthers. Chapman & Hall/CRC, 2000. Print.

Constanda, Christian. Direct and Indirect Boundary Integral Equation Methods. Chapman & Hall/CRC, 1999. Print.

Constanda, Christian. Analysis, Numerics and Applications of Differential and Integral Equations. Ed. Christian Constanda et al. Addison Wesley Longman, 1997. Print.

Constanda, Christian. Ed. Christian Constanda, J. Saranen, and S. Seikkala. 1: Analytic Methods. Addison Wesley Longman, 1997. Print.

Constanda, Christian. Ed. Christian Constanda, J. Saranen, and S. Seikkala. 2: Approximation Methods. Addison Wesley Longman, 1997. Print.

Constanda, Christian. Encyclopedia of Mathematical Sciences. Vol. 65. Springer, 1996. Print.

Constanda, Christian. Integral Methods in Science and Engineering. Ed. Christian Constanda. Longman/Wiley, 1994. Print.

Constanda, Christian. A Mathematical Analysis of Bending of Plates with Transverse Shear Deformation. Longman/Wiley, 1990. Print.

Constanda, Christian. Relay Control Systems. Cambridge University Press, 1984. Print.

Constanda, Christian, Dale Doty, and William Hamill. Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation. Springer, 1900. Print.

Constanda, Christian. Solution Techniques for Elementary Partial Differential Equations. Chapman & Hall/CRC, 1900. Print.

Conference Proceedings


Constanda, Christian et al. “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. 358–361. Print.

Chudinovich, Igor et al. “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. 83–88. Print.

Constanda, Christian, and I. Chudinovich. “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. 377–380. Print.

Constanda, Christian, and I. Chudinovich. “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. I. Leeds Univ. Press, 2005. C04. Print.

Pomeranz, Shirley, Gil Lewis, and Christian Constanda. “A Contact Problem for a Convection Diffusion Equation.” The Eighth International Conference on Integral Methods in Science and Engineering (IMSE 2004) Proceedings, 2005. 235–244. Print.

Constanda, Christian. “The Rigorous Solution of Plane Elastic Strain.” Proceedings of CANCAM95. Vol. 1. University of Victoria Press, 1995. 180–181. Print.

Constanda, Christian. “Numerical Approximation in the Theory of Plates with Transverse Shear Deformation.” Proceedings of the Sixth European Conference on Mathematics in Industry, Teubner, Stuttgart. 1992. 129–132. Print.

Constanda, Christian. “A Problem with Moments in Elasticity Theory.” Proceedings of the Third Conference on Applied Mathematics, Edmond, OK. 1987. 111–118. Print.


MATH 3971 Seminar in Mathematics
MATH 4143 Intro to Partial Differential Equations
MATH 7103 Advanced Differential Equations
MATH 7283 Applied Functional Analysis
MATH 9989 Research and Dissertation