Application of the boundary element method to rubber-like elasticity

Applied Mathematical Modelling

Volumn 20, Issue 9, 1996, Pages 654-661

  Al Gahtani, Husain Jubran ^a   Altiero, Nicholas J ^b  

^a KING FAHD UNIVERSITY OF PETROLEUM AND MINERALS   (Saudi Arabia)

^b Michigan State University   (United States)

Author keywords

Boundary element method; Finite elasticity; Incompressible material; Rubber like material

Indexed keywords

COMPUTER SIMULATION; DEFORMATION; ELASTICITY; INTEGRAL EQUATIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS; PRESSURE VESSELS; RUBBER; RUBBER PRODUCTS; STRAIN;

FINITE ELASTICITY; INCOMPRESSIBLE MATERIAL; RUBBER LIKE MATERIALS;

BOUNDARY ELEMENT METHOD;

EID: 0030241091     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0307-904X(96)00046-7     Document Type: Article

References (16)

1. Green, A. E. and Zerna, W. Theoretical Elasticity. Clarendon, Oxford, UK, 1966
2. Oden, J. T. and Carey, G. F. Finite Elements, -Special Problems in Solid Mechanics, vol. V. Prentice-Hall, Englewood Cliffs, NJ, 1984
3. Hughes, T. J. R. The Finite Element Method. Prentice-Hall, Englewood Cliffs, NJ, 1987
4. Malkus, D. S. A finite element displacement model valid for any value of the incompressibility. Int. J. Solids Struct. 1976, 12, 731-738
5. Chang, T. Y. P., Saleeb, A. F., and Li, G. Large strain analysis of rubber-like materials based on a perturbed Lagrangian variational principle. Comput. Mech. 1991, 8, 221-233
6. Sussman, T. S. and Bathe, K. J. A finite element formulation for nonlinear incompressibility elastic and inelastic analysis. Comput Struct. 1987, 26, 357-409
7. Gadala, M. S. Numerical solutions for nonlinear problems of Continua-II. Survey of incompressibility constraints and software aspects. Comput. Struct. 1986, 22(5), 841-855
8. Polizzotto, C. and Zito, M. A step-wise variational approach to elastic-plastic analysis by boundary/interior elements. Int. J. Plasticity 1994, 10(1), 81-101.
9. Okada, H. and Atluri, S. N. Recent developments in the field-boundary element methods for finite/small strain elastoplasticity. Int. J. Solids Struct. 1994, 31(12/13), 1737-1775
10. Liu, Y. Hong, Q. and Gao, F. Solving the elastoplastic unloading problems of an axisymmetric body with actual material hardening models by BEM. Comput. Struct. 1994, 52(6), 1293-1300
11. Ye, J. Large deflection of imperfect plates by iterative BEM and FEM. J. Eng. Mech. ASCE 1994, 120(3), 431-444
12. Phan-Thien, N. Rubber-like elasticity by boundary element method: Finite deformation of a circular slice. Rheol. Acta 1988, 27, 230-240
13. Phan-Thien, N. Boundary element method for finite elasticity. Comput. Mech. 1990, 6, 205-219
14. Brebbia, C. A. and Dominguez, J. Boundary Elements: An Introductory Course, 2nd edition. McGraw-Hill, New York, 1992
15. Oden, J. T. Finite Elements of Nonlinear Continua. McGraw-Hill, New York, 1972
16. Murakawa, H. and Atluri, S. Finite elasticity solutions using hybrid elements based on a complementary energy principle, Part 2: Incompressible materials. J. Appl. Mech. 1978, 46, 71-77