Thermo-elasto-plastic constitutive law for inhomogeneous materials based on an incremental Mori-Tanaka approach

Computers and Structures

Volumn 71, Issue 2, 1999, Pages 197-214

  Pettermann, H E ^a   Plankensteiner, A F ^a   Bohm H J ^a   Rammerstorfer, F G ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NONMETALLIC MATRIX COMPOSITES; THERMAL EXPANSION; THERMOELASTICITY;

INCREMENTAL MEAN FIELD METHOD; MORI-TANAKA METHOD; NONLINEAR CONSTITUTIVE LAW; THERMOELASTOPLASTICITY; THERMOMECHANICAL PROPERTIES;

STRUCTURAL ANALYSIS;

EID: 0033115713     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(98)00208-9     Document Type: Article

References (48)

1. ABAQUS Version 5.5. 1994. Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, R.I.
2. Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mech Mater. 6:1987;147-157.
3. Benveniste Y, Dvorak GJ. On a correspondence between mechanical and thermal effects in two-phase composites. In: Weng GJ, Taya M, Abé H, editors. Micromechanics and Inhomogeneity. New York: Springer, 1990. p. 65-82.
4. Benveniste Y., Dvorak G.J., Chen T. On effective properties of composites with coated cylindrically orthotropic fibers. Mech Mater. 12:1991;289-297.
5. Benveniste Y., Dvorak G.J., Chen T. On diagonal and elastic symmetry of the approximate effective stiffness tensor of heterogeneous media. J Mech Phys Solids. 39:1991;927-946.
6. Böhm HJ. Computer based micromechanical investigations of the thermomechanical behavior of metal matrix composites. Vol. 18, no. 101. Düsseldorf: VDI, 1994.
7. Böhm HJ. Notes on some mean field approaches for thermoelastic two-phase composites. CDL-FMD Report 1. Institute of Lightweight Structures and Aerospace Engineering, Vienna University of Technology, Vienna, Austria, 1988.
8. Böhm HJ. Chimani CM, Pettermann HE, Plankensteiner AF, Rammerstorfer FG. Multiscale treatment of inhomogeneous materials by finite elements. In: Proceedings of the IUTAM/IACM-Symposium on Discretization Methods in Structural Mechanics II. Vienna, in print, 1999.
9. Brown L.M., Stobbs W.M. The work-hardening of copper-silica. I. A model based on internal stresses, with no plastic relaxation. Phil Mag. 23:1971;1185-1199.
10. Budiansky B. A reassessment of deformation theories of plasticity. J Appl Mech. 26:1959;259-264.
11. Buryachenko V.A. Predicting the macroproperties of a composite medium by the elastoplastic effective field method. Strength Mater. 22:1990;1645-1650.
12. Buryachenko V.A. The overall elastoplastic behavior of multiphase materials. Acta Mech. 119:1996;93-117.
13. Buryachenko VA, Rammerstorfer FG, Plankensteiner AF. A local theory of elastoplastic deformation of two-phase metal matrix random sturcture composites. J Appl Mech (submitted).
14. Chimani CM. Micro- and macromechanical models for hybrid, selectively reinforced structures. Doctoral Thesis, Vienna University of Technology, Vienna, Austria, 1998.
15. Dorninger K. Entwicklung von nichtlinearen FE-Algorithmen zur Berechnung von Schalenkonstruktionen aus Faserverbundstoffen. Vol. 18, no. 65. Düsseldorf: VDI, 1989.
16. Dvorak GJ., Plasticity theories for fibrous composite materials. In: Everett RK, Arsenault RS, editors. Metal Matrix Composites: Mechanisms and Properties. Boston, MA: Academic Press, 1991. p. 1-77.
17. Dvorak G.J. Transformation field analysis of inelastic composite materials. Proc R Soc Lond. A437:1992;311-327.
18. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc R Soc Lond. A241:1957;376-396.
19. Eshelby J.D. The elastic field outside an ellipsoidal inclusion. Proc R Soc Lond. A252:1959;561-569.
20. Ferrari M. Asymmetry and the high concentration limit of the Mori-Tanaka effective medium theory. Mech Mater. 11:1991;251-256.
21. Gavazzi A.C., Lagoudas D.C. On the numerical evaluation of Eshelby's tensor and its application to elastoplastic fibrous composites. Comput Mech. 7:1990;12-19.
22. Hill R. Continuum micro-mechanics of elastic-plastic polycrystals. J Mech Phys Solids. 13:1965;89-101.
23. Hill R. Interfacial operators in the mechanics of composite media. J Mech Phys Solids. 31:(4):1983;347-357.
24. p composites. Acta Metall Mater. 41:1993;175-189.
25. Kelly A, editor. Concise encyclopedia of composite materials. Oxford: Pergamon Press, 1989.
26. Lagoudas D.C., Gavazzi A.C., Nigam H. Elastoplastic behavior of metal matrix composites based on incremental plasticity and the Mori-Tanaka averaging scheme. Comput Mech. 8:1991;193-203.
27. Li Y.Y., Chen Y. An incremental plastic analysis of multiphase materials. J Appl Mech. 57:1990;562-568.
28. Mori T., Tanaka K. Average stress in the matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21:1973;571-574.
29. NN. Magnesium die castings properties. Autom Engng 1995;August: 87-92.
30. Norsk Hydro ASA, NHMg.db (ext.) release E 1.0 database; Research Centre Prosgrunn, Norway 1996.
31. Ortiz M., Popov E.P. Accuracy and stability of integration algorithms for elastoplastic constitutive relations. Int J Numer Meth Engng. 21:1985;1561-1576.
32. Pettermann HE, Derivation and finite element implementation of constitutive material laws for multiphase composites based on Mori-Tanaka approaches. Vol. 18 no. 217. Düsseldorf: VDI, 1997.
33. Pettermann HE, Böhm HJ, Rammerstorfer FG. An elasto-plastic constitutive law for composite materials. In: Rappaz M, Kedro M, editors. Proceedings of the General COST 512 Workshop on Modelling in Materials Science and Processing. Brussels, Belgium, 1996. p. 384-392.
34. Pettermann H.E., Böhm H.J., Rammerstorfer F.G. Some direction dependent properties of matrix-inclusion type composites with given reinforcement orientaion distributions. Composites. 28B:1997;253-265.
35. Pettermann HE, Weissenbek E, Suresh S. Simulation of the elasto-plastic deformation in compositionally graded metal-ceramic structures: mean-field and unit cell approaches. In: Miyamoto MY, Shiota I, editors. Functionally Graded Materials. Amsterdam: Elsevier, 1997. p. 75-80.
36. Plankensteiner AF, Mean Field Algorithmen zur Thermo-elasto-Plastischen Materialcharakterisierung von MMCs, Diploma Thesis, Vienna University of Technology. 1994.
37. Plankensteiner A.F., Böhm H.J., Rammerstorfer F.G., Buryachenko V.A., Hackl G. Modeling of layer-structured high speed steel. Acta Mater. 45:(5):1997;1875-1887.
38. Plankensteiner AF, Pettermann HE, Rammerstorfer FG, Thermo-elasto-plastic constitutive laws used in mesophase unit cell models for highly heterogeneous MMCs. In: Hui D, editor. Proceedings of the Fourth International Conference on Composites Engineering, 1997. p. 787-8.
39. Ponte Castañeda P, Suquet P. 1998. Nonlinear composites. In: Advances in applied mechanics 24. New York: Academic Press. p. 171-202.
40. Qiu Y.P., Weng G.J. An energy approach to the plasticity of a two-phase composite containing aligned inclusions. J Appl Mech. 62:(4):1995;1039-1046.
41. Suquet P. Overall properties of nonlinear composites: a modified secant moduli theory and its link with Ponte Castañeda's nonlinear variational procedure. CR Acad Sci Paris, Sér IIb. 320:1995;563-571.
42. Tvergaard V. Analysis of tensile properties for a whisker-reinforced metal-matrix composite. Acta Metall Mater. 38:1990;185-194.
43. Weeton JW, Peters DM, Thomas KL, editors. 1987. Engineer's guide to composite materials. Metals Park, OH: American Society of Metals.
44. Weissenbek E, Finite element modelling of discontinuously reinforced metal-matrix composites. Vol. 18, no. 164. Düsseldorf: VDI, 1994.
45. Weissenbek E., Böhm H.J., Rammerstorfer F.G. Micromechanical investigations of arrangement effects in particle reinforced metal-matrix composites. Comput Mater Sci. 3:1994;263-278.
46. Weissenbek E., Pettermann H.E., Suresh S. Numerical simulation of plastic deformation in compositionally graded metal-ceramic structures. Acta Mater. 45:1997;3401-3417.
47. Withers P.J., Stobbs W.M., Pedersen O.B. The application of the Eshelby method of internal stress determination to short fibre metal matrix composites. Acta Metall. 37:1989;3061-3084.
48. Xie M., Adams D.F. A plasticity model for unidirectional composite materials and its application in modeling composites testing. Compos Sci Technol. 54:(1):1995;11-21.