FINITE-ELEMENT METHOD FOR PLANE STRAIN DEFORMATIONS OF INCOMPRESSIBLE SOLIDS

abstract

• A finite element method for incompressible deformation is formulated from the virtual work equation based on deviatoric quantities. Particular emphasis is given to nonlinear material behavior. The incompressibility constraint is imposed on the admissible displacement field by direct elimination of nodal displacements. The resulting stiffness matrix is symmetric and positive definite. Once a convergent solution for the displacement is obtained, the hydrostatic stress is determined from the principle of virtual work. A variety of illustrative examples are presented. The efficiency, economy and limitations of the method are discussed. 1978.

authors

• Needleman, Alan

published proceedings

• COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

author list (cited authors)

• NEEDLEMAN, A., & SHIH, C. F.

citation count

• 30

complete list of authors

• NEEDLEMAN, A||SHIH, CF

publication date

• January 1978

publisher

• Elsevier  Publisher

published in

• Computer Methods in Applied Mechanics and Engineering  Journal

Digital Object Identifier (DOI)

• 10.1016/0045-7825(78)90025-7

start page

• 223

end page

• 240

volume

• 15

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2F0045-7825%2878%2990025-7