FEM solutions for plane stress mode-I and mode-II cracks in strain gradient plasticity

2000 ◽  
Vol 43 (9) ◽  
pp. 969-979
Author(s):  
Xinming Qiu ◽  
Tianfu Guo ◽  
Kezhi Huang ◽  
Kehchih Hwang
Keyword(s):  
Plane Stress ◽  
Strain Gradient ◽  
Strain Gradient Plasticity ◽  
Mode I ◽  
Mode Ii ◽  
Gradient Plasticity ◽  
Stress Mode

Asymptotic Fields of a Perfectly-Plastic, Plane-Stress Mode II Growing Crack

1986 ◽  
Vol 53 (4) ◽  
pp. 831-833 ◽  
Author(s):  
P. Ponte Castan˜eda
Keyword(s):  
Plane Stress ◽  
Velocity Fields ◽  
Mode I ◽  
Mode Ii ◽  
Perfectly Plastic ◽  
Stress Mode ◽  
Mode Ii Crack ◽  
Growing Crack ◽  
Elastic Perfectly Plastic ◽  
Elastic Unloading

The asymptotic near-tip stress and velocity fields are presented for a plane-stress Mode II crack propagating quasi-statically in an elastic-perfectly plastic Mises solid. The solution is found to have fully continuous stress and velocity fields, and a configuration similar to that of the anti-plane strain problem: a singular centered fan plastic sector ahead of the crack, followed by an elastic unloading sector and a constant stress plastic sector extending to the crack flank. The impossibility of a plane-stress Mode I crack solution having these properties is also discussed.

Plane-Stress Deformation in Strain Gradient Plasticity

1999 ◽  
Vol 67 (1) ◽  
pp. 105-111 ◽  
Author(s):  
J. Y. Chen ◽  
Y. Huang ◽  
K. C. Hwang ◽  
Z. C. Xia
Keyword(s):  
Boundary Conditions ◽  
Plane Stress ◽  
Strain Gradient ◽  
Three Dimensional ◽  
Strain Gradient Plasticity ◽  
Plane Boundary ◽  
Gradient Plasticity ◽  
Governing Equations ◽  
Stress Deformation ◽  
Out Of Plane

A systematic approach is proposed to derive the governing equations and boundary conditions for strain gradient plasticity in plane-stress deformation. The displacements, strains, stresses, strain gradients and higher-order stresses in three-dimensional strain gradient plasticity are expanded into a power series of the thickness h in the out-of-plane direction. The governing equations and boundary conditions for plane stress are obtained by taking the limit h→0. It is shown that, unlike in classical plasticity theories, the in-plane boundary conditions and even the order of governing equations for plane stress are quite different from those for plane strain. The kinematic relations, constitutive laws, equilibrium equation, and boundary conditions for plane-stress strain gradient plasticity are summarized in the paper. [S0021-8936(00)02301-1]

Sign in / Sign up

Export Citation Format

Share Document