# Christian Constanda PhD

Mathematics 918-631-3068

christian-constanda@utulsa.edu

## 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, 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 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. “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. “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. “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 I. Chudinovich. “Boundary Integral Equations for Thermoelastic Plates with Cracks.”

*Math. Mech. Solids*15 (2010): 96–113. 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 et al. “The Dirichlet Problem for a Plate on an Elastic Foundation.”

*Libertas Math.*30 (2010): 81–84. 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, 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 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 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 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, 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. “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, 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 et al. “Nonclassical Dual Methods in Equilibrium Problems for Thin Elastic Plates.”

*Quart. J. Mech. Appl. Math.*59 (2006): 125–137. 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, and R. Mitric. “Boundary Integral Equation Methods for a Refined Model of Elastic Plates.”

*Math. Mech. Solids*11 (2006): 642–654. 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.

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 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. “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, 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, 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, and I. Chudinovich. “Time-Dependent Boundary Integral Equations for Multiply Connected Plates.”

*IMA J. Appl. Math.*68 (2003): 507–522. 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. “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 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. “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 Transmission Problem in Bending of Plates with Transverse Shear Deformation.”

*IMA J. Appl. Math.*66 (2001): 215–229. 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, 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, 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. “Boundary Integral Equations for Multiply Connected Plates.”

*J. Math. Anal. Appl.*244 (2000): 184–199. 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. “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. “Solvability of Initial-Boundary Value Problems in Bending of Plates.”

*J. Appl. Math. Phys.*51 (2000): 449–466. 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, 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 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 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. “Representation Theorems for the Solutions of High Frequency Harmonic Oscillations in Elastic Plates.”

*Appl. Math. Lett.*11.5 (1998): 55–59. Print.

Constanda, Christian. “Radiation Conditions and Uniqueness for Stationary Oscillations in Elastic Plates.”

*Proc. Amer. Math. Soc.*126 (1998): 827–834. Print.

Constanda, Christian. “Composition Formulae for Boundary Operators.”

*SIAM Rev.*40 (1998): 128–132. 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. “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. “On Boundary Value Problems Associated with Newton’s Law of Cooling.”

*Appl. Math. Lett.*20.5 (1997): 55–59. Print.

Constanda, Christian. “On the Dirichlet Problem for the Biharmonic Equation.”

*Math. Methods Appl. Sci.*20 (1997): 885–890. 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. “Integral Equations of the First Kind in Plane Elasticity.”

*Quart. Appl. Math.*53 (1995): 783–793. 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, 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. “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 P. Schiavone. “Oscillation Problems in Thin Plates with Transverse Shear Deformation.”

*SIAM J. Appl. Math.*53 (1993): 1253–1263. 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 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. “Potentials with Integrable Density in the Solution of Bending of Thin Plates.”

*Appl. Math. Lett.*2 (1989): 221–223. 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. “Differentiability of the Solution of a System of Singular Integral Equations in Elasticity.”

*Appl. Anal.*34 (1989): 183–193. 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. “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. “The Boundary Integral Equation Method in the Problem of Bending of Thin Plates.”

*Libertas Math.*5 (1985): 85–101. 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. “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. “Bending of Thin Plates in the Theory of Elastic Mixtures.”

*Arch. Mech.*33 (1981): 3–10. 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 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. “On the Bending of Micropolar Plates.”

*Lett. Appl. Engrg. Sci.*2 (1974): 329–339. 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. “Existence of the Solution to a Dynamic Problem in Micropolar Elasticity.”

*Stud. Cerc. Mat.*26 (1974): 1197–1208. Print.

## Book Chapters

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, 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 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. “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. “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. “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 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, 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, 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 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, 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 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 R. Mitric. “An Enhanced Theory of Bending of Plates.”

*Integral Methods in Science and Engineering*. Birkhauser, 2002. 191–196. 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 K. Ruotsalainen. “An Initial-Boundary Value Problem for Elastic Plates.”

*Integral Methods in Science and Engineering*. Birkhauser, 2002. 63–68. 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 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. “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, 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. “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

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

*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.

Constanda, Christian, and G.R. Thomson.

*Stationary Oscillations of Elastic Plates. A Boundary Integral Equation Analysis*. Birkhauser, 2011. 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.

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

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

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

*Integral Methods in Science and Engineering: Analytic and Numerical Methods*. Ed. Christian Constanda, M. Ahues, and A. Largillier. Birkhauser, 2004. 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*. Ed. Christian Constanda, P. Schiavone, and A. Mioduchowski. Birkhauser, 2002. 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.

*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.

*Direct and Indirect Boundary Integral Equation Methods*. Chapman & Hall/CRC, 1999. 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.

*Analysis, Numerics and Applications of Differential and Integral Equations*. Ed. Christian Constanda et al. 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.

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

Constanda, Christian, Dale Doty, and William Hamill.

*Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation*. Springer, 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.

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, 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.

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. “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.