1.   P. Ponte Castañeda. "Asymptotic analysis of a perfectly-plastic, plane-stress mode II growing crack." Journal of Applied Mechanics  53 (1986): 831-833.

2.   P. Ponte Castañeda. "Asymptotic fields in steady crack growth with linear strain-hardening." Journal of the Mechanics and Physics of Solids  35 (1987): 227-268.

3.    P. Ponte Castañeda. "Plastic stress intensity factors in steady crack growth." Journal of Applied Mechanics  54 (1987): 379-387.

4.   P. Ponte Castañeda. "Asymptotic analysis of a mode I crack propagating steadily in a deformation theory material." Journal of Applied Mechanics  54 (1987): 79-86.

5.    P. Ponte Castañeda and J. R. Willis. "On the overall properties of nonlinearly viscous composites." Proceedings of the Royal Society of London A 416 (1988): 217-244.

6.  P. Ponte Castañeda. "The overall constitutive behavior of nonlinearly elastic composites." Proceedings of the Royal Society of London A 422 (1989): 147-171.

7.  P. Ponte Castañeda and G. deBotton. "Variational estimates for the effective properties of a porous Ramberg-Osgood material." In Developments on Theoretical and Applied Mechanics, edited by S.V. Hanagud et al., 653-660. Atlanta: Georgia Institute of Technology, 1990.

8.  P. Ponte Castañeda and P. A. Mataga. "Stable crack growth along a brittle/ductile interface. Part I - Near-tip fields." International Journal of Solids and Structures 27 (1991): 105-133.

9.  P. Ponte Castañeda. "The effective mechanical properties of nonlinear isotropic composites." Journal of the Mechanics and Physics of Solids 39 (1991): 45-71.

10. P. Ponte Castañeda. "The effective properties of incompressible brittle/ductile composites." In Inelastic Deformation of Composite Materials (IUTAM Symposium), edited by G.J. Dvorak, 215-231. New York:  Springer-Verlag, 1991.

11.  P. Ponte Castañeda. "Effective properties in power-law creep." In Mechanics of Creep Brittle Materials-2, edited by  A.C.F. Cocks and A.R.S. Ponter, 218-229. London:  Elsevier, 1991.

12.  P. Ponte Castañeda. "Effective anisotropic properties of creeping composites." In Anisotropy and Localization of Plastic Deformation, edited by J.-P. Boehler and A.S. Khan, 15-18. London:  Elsevier, 1991.

13.  K. Bose and P. Ponte Castañeda. "Stable crack growth under mixed-mode conditions." Journal of the Mechanics and Physics of Solids 40 (1992): 1053-1105.

14.  P. Ponte Castañeda. "New variational principles in plasticity and their application to composite materials." Journal of the Mechanics and Physics of Solids 40 (1992): 1757-1788.

15.  P. Ponte Castañeda and G. deBotton. "On the homogenized yield strength of two-phase composites." Proceedings of the Royal Society of London A 438 (1992): 419-431.

16.  P. Ponte Castañeda. "A new variational principle and its application to nonlinear heterogeneous systems."  SIAM Journal on Applied Mathematics 52 (1992): 1321-1341.

17.  P. Ponte Castañeda. "Bounds and estimates for the properties of nonlinear heterogeneous systems." Philosophical Transactions of the Royal Society of London A 340 (1992): 531-567.

18.  P. Ponte Castañeda, G. deBotton and G. Li. "Effective properties of nonlinear inhomogeneous dielectrics." Physical Review B 46 (1992): 4387-4394.

19.  G. deBotton and P. Ponte Castañeda. "On the ductility of laminated materials." International Journal of Solids and Structures 29 (1992) : 2329-2353.

20.  G. deBotton and P. Ponte Castañeda. "Elastoplastic constitutive relations for fiber-reinforced solids." International Journal of Solids and Structures 30 (1993): 1865-1890.

21.  G. Li, P. Ponte Castañeda and A.S. Douglas. "Constitutive models for ductile solids reinforced by rigid spheroidal inclusions." Mechanics of Materials 15 (1993): 279-300.

22.  G. Li and P. Ponte Castañeda. "The effect of particle shape and stiffness on the constitutive behavior of metal-matrix composites." International Journal of Solids and Structures 30 (1993): 3189-3209.

23.  P. Suquet and P. Ponte Castañeda. "Small-contrast perturbation expansions for the effective properties of nonlinear composites." Comptes Rendus de l'Académie des Sciences, Paris, Série II 317 (1993): 1515-1522.

24.  P. Ponte Castañeda and J.R. Willis. "The effective behavior of nonlinear composites: A comparison between methods." In Continuum Models and Discrete Systems (CMDS 7), Materials Science Forum, vols. 123-125, edited by  K.-H. Anthony and H.-J. Wagner, 351-360. Aedermannsdorf:  Trans Tech, 1993.

25.  G. Li and P. Ponte Castañeda. "Variational estimates for the elastoplastic response of particle-reinforced metal-matrix composites."  Applied Mechanics Reviews 47 (1994): S77-94.

26.  P. Ponte Castañeda and M. Zaidman. "Constitutive models for porous materials with evolving microstructures." Journal of the Mechanics and Physics of Solids 42 (1994): 1459-1497.

27.  N. Aravas, C. Cheng and P. Ponte Castañeda. "Steady-state creep of fiber reinforced composites: Constitutive equations and computational issues." International Journal of Solids and Structures 32 (1995): 2219-2244.

28.  G. deBotton and P. Ponte Castañeda. "Variational estimates for the creep behavior of polycrystals." Proceedings of the Royal Society of London A 448 (1995): 121-142.

29.  P. Ponte Castañeda and P. Suquet. "The effective behavior of weakly inhomogeneous nonlinear materials." European Journal of Mechanics 14 (1995):  205-236.

30.  P. Ponte Castañeda and J. R. Willis. "The effect of spatial distribution on the effective behavior of composite materials and cracked media." Journal of the Mechanics and Physics of Solids 43 (1995): 1919-1951.

31.  K. Bose and P. Ponte Castañeda. "The effect of mode mix on interfacial toughness: a ductile mechanism." ASTM STP 1220 (1995): 106-124.

32.  M. Kailasam and P. Ponte Castañeda. "Constitutive models for porous solids in power-law creep: The effect of microstructure evolution." In Net Shape Processing of Powder Materials (ASME Symposium), edited by S. Krishnaswami, R. M. McMeeking and J. R. L. Trasorras, 79-88. New York:  ASME, 1995.

33.  M. Zaidman and P. Ponte Castañeda. "Effective yield surfaces for anisotropic composite materials." In Anisotropy, Inhomogeneity and Nonlinearity (IUTAM Symposium), edited by D.F. Parker and A.H. England, 415-422. New York:  Kluwer, 1995.

34.  M. Zaidman and P. Ponte Castañeda. "Microstructure evolution in ideally plastic composites." In Microstructure-Property Interactions in Composite Materials (IUTAM Symposium), edited by R. Pyrz, 407-418. New York:  Kluwer, 1995.

35.  P. Ponte Castañeda. "A second-order theory for nonlinear composite materials." Comptes Rendus de l'Académie des Sciences, Paris, Série IIb  322 (1996): 3-10.

36.  P. Ponte Castañeda and M. Zaidman. "On the finite deformation of nonlinear composite materials. Part I ?? Instantaneous effective potentials." International Journal of Solids and Structures 33 (1996): 1271-1286.

37.  M. Zaidman and P. Ponte Castañeda. "On the finite deformation of nonlinear composite materials. Part II ?? Evolution of the microstructure." International Journal of Solids and Structures 33 (1996): 1287-1303.

38.  P. Ponte Castañeda. "Exact second-order estimates for the effective mechanical properties of nonlinear composites." Journal of the Mechanics and Physics of Solids 44 (1996):  827-862.

39.  P. Ponte Castañeda. "Variational methods for estimating the effective behavior of nonlinear composite materials." In Continuum Models and Discrete Systems (CMDS 8), edited by  K.Z. Markov, 268-279. Singapore: World Scientific, 1996.

40.  M. Kailasam and P. Ponte Castañeda. "Constitutive relations for porous materials: The effect of changing void shape and orientation." In Micromechanics of Plasticity and Damage of Multiphase Materials (IUTAM Symposium), edited by A. Pineau and A. Zaoui, 215-222. New York:  Kluwer, 1996.

41.  P. Ponte Castañeda and M. Kailasam. "Nonlinear electrical conductivity in heterogeneous media." Proceedings of the Royal Society of London A 453 (1997): 793-816.

42.  M. Kailasam, P. Ponte Castañeda and J. R. Willis. "The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. I. Theory." Philosophical Transactions of the Royal Society of London A 355 (1997): 1835-1852.

43.  M. Kailasam, P. Ponte Castañeda and J. R. Willis. "The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II. Examples." Philosophical Transactions of the Royal Society of London A 355  (1997): 1853-1872.

44.  P. Ponte Castañeda. "Strongly nonlinear composites: A second-order theory for estimating transport properties." Physics Letters A 224 (1997): 163-168.

45.  P. Ponte Castañeda and M. Nebozhyn. "Variational estimates of the self-consistent type for some model nonlinear polycrystals." Proceedings of the Royal Society of London A 453 (1997): 2715-2724.

46.  P. Ponte Castañeda. "Nonlinear composite materials: effective constitutive behavior and microstructure evolution." In Continuum Micromechanics, CISM Courses and Lectures, Vol. 377, edited by P. Suquet, pp. 131-195. Vienna:  Springer-Verlag, 1997.

47.  M. Kailasam and P. Ponte Castañeda. "The evolution of anisotropy in porous materials and its implications for shear localization." In Mechanics of Granular and Porous Materials (IUTAM Symposium), edited by N. Fleck, 365-376. New York:  Kluwer, 1997.

48.  P. Ponte Castañeda and P. Suquet. "Nonlinear composites." Advances in Applied Mechanics 34  (1998): 171-302.

49.  M. Kailasam and P. Ponte Castañeda. "A general constitutive theory for linear and nonlinear particulate media with evolving microstructure." Journal of the Mechanics and Physics of Solids (1998) 46: 427-465.

50.  P. Ponte Castañeda. "Three-point bounds and other estimates for strongly nonlinear composites."  Physical Review B (1998): accepted for publication.

51.  M. Nebozhyn and P. Ponte Castañeda. "Self-consistent estimates for nonlinear composite materials." Mechanics of Materials (1997): accepted for publication.

52.  K. Bose, P. A. Mataga and P. Ponte Castañeda. "Stable crack growth along a brittle/ductile interface. Part II - Small scale yielding solutions." International Journal of Solids and Structures (1997): accepted for publication.

53.  M. Bornert and P. Ponte Castañeda. "Second-order estimates of the self-consistent type for viscoplastic polycrystals." (1998):  submitted for publication.

54.  P. Ponte Castañeda and J. R. Willis. "Variational second-order estimates for nonlinear composites." (1998):  submitted for publication.

55.  M. Nebozhyn and P. Ponte Castañeda. "Second-order estimates for the effective behavior of nonlinear porous materials." In Transformation Problems in Composite and Active Materials (IUTAM Symposium), edited by Y. Bahei-El-Din and G. J. Dvorak, to appear. New York:  Kluwer, 1998.

56.  M. Nebozhyn and P. Ponte Castañeda. "Variational estimates of the self-consistent type for creep of polycrystalline materials." In Micro- and Macrostructural Aspects of Thermoplasticity (IUTAM Symposium), edited by O. T. Bruhns and E. Stein, to appear. New York:  Kluwer, 1998.

57.  J. P. Briggs, J. P. Ostrowski and P. Ponte Castañeda. "Constitutive modeling and control of smart composite structures." Proceedings of the 5th SPIE International Symposium on Smart Structures and Materials, submitted for publication, 1998.

58.  P. Ponte Castañeda. "Nonlinear polycrystals with crystallographic and morphological texture evolution." In Continuum Models and Discrete Systems (CMDS 9), edited by  E. Inan, manuscript in preparation, 1998.