TY - JOUR

T1 - FINITE ELASTICITY SOLUTIONS USING HYBRID FINITE ELEMENTS BASED ON A COMPLEMENTARY ENERGY PRINCIPLE.

AU - Murakawa, H.

AU - Atluri, S. N.

PY - 1978

Y1 - 1978

N2 - The possibility of deriving a complementary energy principle, for the incremental analysis of finite deformations of nonlinear-elastic solids, in terms of incremental Piola-Lagrange (unsymmetric) stress alone, is examined. A new incremental hybrid stress finite-element model, based on an incremental complementary energy principle involving both the incremental Piola-Lagrange stress, and an incremental rotation tensor which leads to discretization of roatational equilibrium equations, is presented. An application of this new method to the finite strain analysis of a compressible nonlinear-elastic solid is included, and the numerical results are discussed.

AB - The possibility of deriving a complementary energy principle, for the incremental analysis of finite deformations of nonlinear-elastic solids, in terms of incremental Piola-Lagrange (unsymmetric) stress alone, is examined. A new incremental hybrid stress finite-element model, based on an incremental complementary energy principle involving both the incremental Piola-Lagrange stress, and an incremental rotation tensor which leads to discretization of roatational equilibrium equations, is presented. An application of this new method to the finite strain analysis of a compressible nonlinear-elastic solid is included, and the numerical results are discussed.

UR - http://www.scopus.com/inward/record.url?scp=85069395563&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85069395563

JO - American Society of Mechanical Engineers (Paper)

JF - American Society of Mechanical Engineers (Paper)

SN - 0402-1215

IS - 78 -WA/APM-1

Y2 - 10 December 1978 through 15 December 1978

ER -