TY - JOUR
T1 - Finite elasticity solutions using hybrid finite elements based on a complementary energy principle
T2 - Part 2: Incompressible materials
AU - Murakawa, H.
AU - Atluri, S. N.
PY - 1979
Y1 - 1979
N2 - In a companion paper [1], the authors presented a total Lagrangean rate formulation for a hybrid stress finite-element method, based on a rate complementary energy principle which involves both the rates of Piola-Lagrange stress and rotation as variables, for finite strain analysis of nonlinear elastic compressible solids. In this paper the method is extended to the case of precisely incompressible rubber-like materials. Two plane stress problems, one corresponding to a biaxial strip test and, the other, a sheet with a circular hole, both involving strains in excess of 100 percent, are solved and the numerical results are discussed.
AB - In a companion paper [1], the authors presented a total Lagrangean rate formulation for a hybrid stress finite-element method, based on a rate complementary energy principle which involves both the rates of Piola-Lagrange stress and rotation as variables, for finite strain analysis of nonlinear elastic compressible solids. In this paper the method is extended to the case of precisely incompressible rubber-like materials. Two plane stress problems, one corresponding to a biaxial strip test and, the other, a sheet with a circular hole, both involving strains in excess of 100 percent, are solved and the numerical results are discussed.
UR - http://www.scopus.com/inward/record.url?scp=0018446998&partnerID=8YFLogxK
U2 - 10.1115/1.3424531
DO - 10.1115/1.3424531
M3 - Article
AN - SCOPUS:0018446998
SN - 0021-8936
VL - 46
SP - 71
EP - 77
JO - Journal of Applied Mechanics, Transactions ASME
JF - Journal of Applied Mechanics, Transactions ASME
IS - 1
ER -