论文信息 - Some results of finite element applications in finite elasticity

Some results of finite element applications in finite elasticity

Abstract This paper examines a number of problems connected with the finite element analysis of finite elastic deformations. A brief review of formulation of equations governing finite deformations of highly elastic elements is given. The convergence of finite element approximations for static problems in elasticity is studied. Incremental stiffness equations are derived in general form and various types of incremental loading techniques are examined. A number of representative solved problems in finite elasticity are given.

J. T. Oden | J. Oden

[1] J. A. Stricklin,et al. Self-correcting incremental approach in nonlinear structural mechanics. , 1971 .

[2] Theodore H. H. Pian,et al. Variational Formulation of Finite-Displacement Analysis, , 1971 .

[3] John E. Goldberg,et al. Analysis of Nonlinear Structures , 1963 .

[4] Walter A. Von Riesemann,et al. Self-correcting initial value formulations in nonlinear structural mechanics , 1971 .

[5] J. T. Oden,et al. Analysis of finite deformations of elastic solids by the finite element method. , 1971 .

[6] J. Oden. Finite Elements of Nonlinear Continua , 1971 .

[7] J. E. Adkins,et al. Large Elastic Deformations , 1971 .

[8] L. Hart-Smith,et al. Large elastic deformations of thin rubber membranes , 1967 .

[9] J. Oden,et al. On some generalizations of the incremental stiffness relations for finite deformations of compressible and incompressible finite elements , 1971 .

[10] J. T. Oden,et al. A Note on the Finite Deformations of a Thick Elastic Shell of Revolution , 1971 .

[11] G. Strang,et al. Fourier Analysis of the Finite Element Method in Ritz-Galerkin Theory , 1969 .