Thermo-mechanical analysis of periodic multiphase materials by a multiscale asymptotic homogenization approach

International Journal for Numerical Methods in Engineering

Volumn 69, Issue 1, 2007, Pages 87-113

  Zhang, H W ^a   Zhang, S ^a   Bi, Jin Ying ^a   Schrefler, B A ^b  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF PADOVA   (Italy)

Author keywords

Homogenization; Multiple scale method; Non Fourier heat conduction; Non local model; Structural dynamics

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; HEAT CONDUCTION; MATHEMATICAL MODELS; THERMOANALYSIS;

MULTIPLE SCALE METHOD; NON-FOURIER HEAT CONDUCTION; NON-LOCAL MODEL; PERIODIC MULTIPHASE MATERIALS; STRUCTURAL DYNAMICS; THERMAL SHOCK; THERMO-DYNAMIC WAVE PROPAGATION; THERMO-MECHANICAL ANALYSIS;

THERMODYNAMICS;

COMPUTATIONAL METHODS; COMPUTER SIMULATION; HEAT CONDUCTION; MATHEMATICAL MODELS; THERMOANALYSIS; THERMODYNAMICS;

EID: 33846313966     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1757     Document Type: Article

References (30)

1. Andrianov IV, Awrejcewicz J, Barantsev RG. Asymptotic approaches in mechanics: new parameters and procedures. Applied Mechanics Reviews (ASME) 2003; 56(1):87-110.
2. Bakhvalov NS, Panasenko GP. Homogenization: Averaging Processes in Periodic Media. Kluwer: Dordrecht, The Netherlands, 1989.
3. Benssousan A, Lions JL, Papanicolaou G. Asymptotic Analysis for Periodic Structures. North-Holland: Amsterdam, 1978.
4. Sanchez-Palencia E. Non-homogeneous Media and Vibration Theory. Springer: Berlin, 1980.
5. Chung PW, Tamma KK, Namburu RR. A computational approach for multi-scale analysis of heterogeneous elasto-plastic media subjected to short duration loads. International Journal for Numerical Methods in Engineering 2004; 59:825-848.
6. Boutin C. Microstructural effects in elastic composites. International Journal of Solids and Structures 1996; 33(7):1023-1051.
7. Schrefler BA, Lefik M, Galvanetto U. Correctors in a beam model for unidirectional composites. Mechanics of Composite Materials and Structures 1997; 4:159-190.
8. Gambin B, Kroner E. High order terms in the homogenized stress-strain relation of periodic elastic media. Physica Status Solidi 1989; 51:513-519.
9. Boutin C, Auriault JL. Rayleigh scattering in elastic composite materials. International Journal of Engineering Science 1993; 31(12):1669-1689.
10. Chen W, Fish J. A dispersive model for wave propagation in periodic heterogeneous media based on homogenization with multiple spatial and temporal scales. Journal of Applied Mechanics (ASME) 2001; 68:153-161.
11. Fish J, Chen W, Nagai G. Non-local dispersive model for wave propagation in heterogeneous media Part 1: One-dimensional case & Part 2: Multi-dimensional case. International Journal for Numerical Methods in Engineering 2002; 54:331-363.
12. Raghavan P, Ghosh S. Adaptive multi-scale computational modeling of composite materials. Computer Modeling in Engineering and Sciences 2004; 5(2):151-170.
13. Fish J, Schwob C. Constitutive modeling based on atomistics. International Journal for Multiscale Computational Engineering 2003; 1(1):43-56.
14. Zhang HW, Galvanetto U, Schrefler BA. Local analysis and global nonlinear behaviour of periodic assemblies of bodies in elastic contact. Computational Mechanics 1999; 24(4):217-229.
15. Zhang HW, Schrefler BA. Global constitutive behaviour of periodic assemblies of inelastic bodies in contact. Mechanics of Composite Materials and Structures 2000; 7(4):355-382.
16. Özisik MN, Tzou DY. On the wave theory in heat conduction. Journal of Heat Transfer (ASME) 1994; 116:526-535.
17. Kaminski W. Hyperbolic heat conduction equation for materials with a nonhomogeneous inner structure. Journal of Heat Transfer (ASME) 1990; 112:555-560.
18. Roetzel W, Putra N, Das SK. Experiment and analysis for non-Fourier conduction in materials with non-homogeneous inner structure. International Journal of Thermal Sciences 2003; 42:541-552.
19. Tsai CS, Hung CI. Thermal wave propagation in a bi-layered composite sphere due to a sudden temperature change on the outer surface. International Journal of Heat and Mass Transfer 2003; 46:5137-5144.
20. Chen JK, Perea A, Allahdadi FA. Laser effects on the dynamic response of laminated composites. Composites Engineering 1995; 5(9):1135-1147.
21. Feldman E, Gilat R. On the dynamic response of metal matrix composite panels to uniform temperature loading. Composite Structures 1999; 47:619-624.
22. Makhecha DP, Ganapathi M, Patel BP. Dynamic analysis of laminated composite plates subjected to thermal/mechanical loads using an accurate theory. Composite Structures 2001; 51:221-236.
23. Lefik M, Schrefler BA. Modelling of nonstationary heat conduction problems in micro-periodic composites using homogenization theory with corrective terms. Archives of Mechanics 2000; 52(2):203-223.
24. Boutin C. Microstructural influence on heat conduction. International Journal of Heat and Mass Transfer 1995; 38(17):3181-3195.
25. Aboudi J, Pindera MJ, Arnold SM. Linear thermoelastic higher-order theory for periodic multiphase materials. Journal of Heat Transfer (ASME) 2001; 68:697-707.
26. Yu Q, Fish J. Multiscale asymptotic homogenization for multiphysics problems with multiple spatial and temporal scales: a coupled thermo-viscoelastic example problem. International Journal of Solids and Structures 2002; 39:6429-6452.
27. Zhang HW, Zhang S, Guo X, Bi JY. Multiple spatial and temporal scales method for numerical simulation of non-classical heat conduction problems: one dimensional case. International Journal of Solids and Structures 2005; 42:877-899.
28. Hassani B, Hinton E. A review of homogenization and topology optimization I, II, III. Computers and Structures 1998; 69:707-717, 719-738, 739-756.
29. Cattaneo C. A form of heat conduction equation which eliminates the paradox of instantaneous propagation. Compte Rendus 1958; 247:431-433.
30. Vernotte P. Some possible complication in the phenomena of thermal conduction. Compte Rendus 1961; 252:2190-2191.