Thermo-mechanical response of heterogeneous materials with randomly distributed transforming particles

Computational Mechanics

Volumn 23, Issue 5, 1999, Pages 457-465

  Zeng, D ^a   Katsube, N ^a   Soboyejo, W ^b  

^a OHIO STATE UNIVERSITY   (United States)

^b The Ohio State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PARTICLE SIZE ANALYSIS; PHASE TRANSITIONS; RESIDUAL STRESSES; THERMAL EXPANSION; THERMOMECHANICAL TREATMENT; TOUGHENING;

HETEROGENEOUS MATERIALS; RANDOMLY DISTRIBUTED TRANSFORMING PARTICLES; STRESS INDUCED TRANSFORMATION; THERMAL EXPANSION COEFFICIENT MISMATCH; TRANSFORMATION TOUGHENING;

DYNAMIC RESPONSE;

EID: 0032637772     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660050425     Document Type: Article

References (16)

1. Atluri SN, Tong P (1983) Recent studies of hybrid and mixed finite element methods in mechanics, Hybrid and Mixed Finite Element Methods. In: Atluri SN, Gallagher mRH, Zienkiewicz OC (ed) J. Wiley & Sons:51-72
2. Budiansky B, Hutchinsen IW, Lambropoulos JC (1983) Continuum theory of dilatant transformation toughening in ceramics. Int. J. Solids Structures 19(4):337-355
3. Christensen RM, Le KH (1979) Solutions for effective shear properties in three phase sphere and cylinder models. J. Mech. Phys. Solids 27(4):315-330
4. Evans AG, Canon RM (1986) Toughening of brittle solids by martensitic transformation. Acta Metall 34:761-800
5. Fung YC (1965) Foundations of solid mechanics, Prentice-Hall, Englewood Cliffs
6. Golanski D, Terada K, Kilouchi N (1997) Macro and micro scale modeling of thermal residual stresses in metal matrix composite surface layers by the homogenization method. Comput. Mech. 19(3):188-202
7. Hashin Z (1979) Analysis of properties of fiber composites with anisotropic constituents. ASME J. Mech. 46:543-550
8. Okada H, Tamura T, Ramakrishnan N, Epstein JS, Atluri SN (1992) Analysis of toughening of Magnesia-partially stabilized zirconia, due to dilatational transformation. Acta Metallurgica et Mater. 40(6):1421-1432
9. Ramakrishnan N, Okada H, Atluri SN (1991) Computer simulation of transformation induced plasticity using finite element method. Acta Metallurgica et Mater. 39(6):1297-1308
10. Ramasundaram P, Ye F, Bowman RR, Soboyejo WO (1998) An investigation of toughening in NiAl composites reinforced with Yttria-Partially stabilized zirconia particles. Metallurgical and Materials Transactions A 29A(2):493-505
11. Reissner E (1986) Some aspects of the variational principles problem in elasticity. Comput. Mech. 1(1):3-10
12. Teixeira de Freitas JA, Ji Z-Y (1996) Hybrid-Trefftz equilibrium model for crack problems. Int. J. Num. Meth. Eng. 39:569-584
13. Tong P, Pian THH, Laary SJ (1973) A hybrid-element approach to crack problems in plane elasticity. Int. J. Numer. Meth. Eng. 7:297-308
14. Xue W-M, Karbovitz LA, Atluri SN (1985) On the existence and stability conditions for mixed-hybrid finite element solutions based on Reissner's variational principle. Int. J. Solids and Structures 21(1):97-116
15. Zhang J (1995) A hybrid finite element method for heterogeneous media with random microstructures, PH. D. Dissertation, The Ohio State University
16. Zhang J, Katsube N (1995) A hybrid finite element method for heterogeneous media with randomly dispersed elasticity inclusions. Finite Elements in Analysis and Design 19:45-55