Extensions of Kronecker product algebra with applications in continuum and computational mechanics

Acta Mechanica

Volumn 136, Issue 3, 1999, Pages 223-241

  Nicholson, D W ^a   Lin, B ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; NONLINEAR EQUATIONS; STIFFNESS MATRIX; TENSORS;

CONTINUUM AND COMPUTATIONAL MECHANICS; HYPERELASTIC MATERIALS; KRONECKER PRODUCT ALGEBRA; STRAIN ENERGY DENSITY; TANGENT MODULUS TENSOR;

CONTINUUM MECHANICS;

EID: 0033363217     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01179259     Document Type: Article

References (13)

1. Nicholson, D. W.: Tangent modulus matrix for finite element analysis of hyperelastic materials. Acta Mech. 112, 187-202 (1995).
2. Nicholson, D. W., Lin, B.: Theory of thermoelasticity for near-incompressible elastomers. Acta Mech. 116, 15-28 (1996).
3. Nicholson, D. W., Lin, B.: Finite element method for thermomechanical response of near-incompressible elastomers. Acta Mech. 124, 181-198 (1997).
4. Nicholson, D. W., Lin, B.: Incremental finite element equations for thermomechanical contact of elastomers: effect of boundary conditions including contact. Acta Mech. 128, 181-104 (1998).
5. Nicholson, D. W., Lin, B.: On the tangent modulus tensor in hyperelasticity. Acta Mech. 131, 121-131 (1998).
6. Lin, B.: Finite elements methods for thermohyperelastic bodies under nonclassical boundary conditions. Diss. Univ. Central Florida, Orlando (1996).
7. Nicholson, D. W.: Finite element analysis of hyperelastic components. Appl. Mech. Rev. 51, 303-320 (1998).
8. Nicholson, D. W., Lin, B.: Stable response of non-classically damped mechanical systems - II. Appl. Mech. Rev. 49, 49-54 (1996).
9. Graham, A.: Kronecker products and matrix calculus with applications. London: Ellis Horwood 1981.
10. MATLAB, Version 5, The Mathworks, Natick MA (1997).
11. Nicholson, D. W., Lin, B.: Tangent modulus tensor in plasticity under finite strain. Acta Mech. 134, 199-215 (1999).
12. Dahlquist, G., Bjork, A.: Numerical methods. New York: Prentice Hall 1974.
13. Ogden, R. W.: Recent advances in the phenomenological theory of rubber elasticity. Rubber Chem. Tech. 59, 361-363 (1986).