Finite element method for thermomechanical response of near-incompressible elastomers

Acta Mechanica

Volumn 124, Issue 1-4, 1997, Pages 181-198

  Nicholson, D W ^a   Lin, B ^a  

^a University of Central Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; INTERPOLATION; ITERATIVE METHODS; MATHEMATICAL MODELS; STIFFNESS MATRIX; STRAIN; TENSORS; THERMAL EXPANSION; THERMOELASTICITY; VECTORS;

JACOBIAN MATRIX; MOONEY RIVLIN MODEL; NEWTON ITERATION SCHEME; THERMOMECHANICAL RESPONSE;

ELASTOMERS;

EID: 0031356111     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01213024     Document Type: Article

References (7)

1. Nicholson, D. W.: Tangent modulus matrix for finite element analysis of hyperelastic materials. Acta Mech. 112, 187-201 (1995).
2. Graham, A.: Kronecker products and matrix calculus with applications. Chichester: Ellis Horwood 1981.
3. Nicholson, D. W., Lin, B.: Theory of thermohyperelasticity for near-incompressible elastomers. Acta Mech. 116, 15-28 (1996).
4. Dillon, O. W. Jr.: A nonlinear thermoelasticity theory. J. Mech. Phys. Solids 10, 123-131 (1962).
5. Schapery, R. A.: On a thermodynamic constitutive theory and its application to various nonlinear materials. Proc. IUTAM Symposium East Kilbride (Boley, B., ed.) pp. 259-285. Wien New York: Springer 1968.
6. Nicholson, D., Nelson, N.: Finite-element analysis in design with rubber. Rubber Rev. Rubber Chem. Technol. 63, 368-406 (1990).
7. Chung, T. J.: Continuum mechanics. Englewood Cliffs.: Prentice-Hall 1988.