Sy. Hsu et Oh. Griffin, ALGORITHMIC TANGENT MATRIX APPROACH FOR MIXED HARDENING MODEL OF ENDOCHRONIC PLASTICITY, Computer methods in applied mechanics and engineering, 133(1-2), 1996, pp. 1-14
A three-dimensional (3-D) algorithmic tangent matrix approach is devel
oped for elastoplastic finite element (FE) analysis using the mixed ha
rdening model of the endochronic plasticity. The simple radial return
algorithm is implemented in the development of the underlying strain-c
ontrolled integration algorithm, which is unconditionally stable. Prec
ise implementation of the radial return is due to the use of the expon
ential algorithm. The 3-D formulation is applied to FE micromechanics
modeling of a undirectional metal matrix composite subjected to non-pr
oportional transverse-normal longitudinal-shear cyclic loading. The pr
edicted macroscopic and microscopic responses consistently demonstrate
the computational advantages of the present approach.