TY - JOUR

T1 - Hybrid stress finite elements for large deformations of inelastic solids

AU - Reed, K. W.

AU - Atluri, S. N.

N1 - Funding Information:
Acknowledgements-This work was supported by the NASA-Lewis ResearchC enter under grant NAG3-38 to Georgia Tech. The authors gratefully acknowledget his support.A ppreciationi s expressedto Ms. BrendaB olinger for her help in preparingt his manuscript.

PY - 1984

Y1 - 1984

N2 - A new hybrid stress finite element algorithm, based on a generalization of Fraeijs de Veubeke's complementary energy principle is presented. Analyses of large quasistatic deformation of inelastic solids (hypoelastic, plastic, viscoplastic) are within its capability. Principal variables in the formulation are the nominal stress rate and spin. A brief account is given of the boundary value problem in these variables, and the 'equivalent' variational principle. The finite element equation, along with initial positions and stresses, comprise an initial value problem. Factors affecting the choice of time integration schemes are discussed. Results found by application of the new algorithm are compared to those obtained by a velocity based finite element algorithm.

AB - A new hybrid stress finite element algorithm, based on a generalization of Fraeijs de Veubeke's complementary energy principle is presented. Analyses of large quasistatic deformation of inelastic solids (hypoelastic, plastic, viscoplastic) are within its capability. Principal variables in the formulation are the nominal stress rate and spin. A brief account is given of the boundary value problem in these variables, and the 'equivalent' variational principle. The finite element equation, along with initial positions and stresses, comprise an initial value problem. Factors affecting the choice of time integration schemes are discussed. Results found by application of the new algorithm are compared to those obtained by a velocity based finite element algorithm.

UR - http://www.scopus.com/inward/record.url?scp=0021300862&partnerID=8YFLogxK

U2 - 10.1016/0045-7949(84)90216-5

DO - 10.1016/0045-7949(84)90216-5

M3 - Article

AN - SCOPUS:0021300862

VL - 19

SP - 175

EP - 182

JO - Computers and Structures

JF - Computers and Structures

SN - 0045-7949

IS - 1-2

ER -