In-situ dendrite/metallic glass matrix composites (MGMCs) with a composition of Ti₄₆Zr₂₀V₁₂Cu₅Be₁₇ exhibit ultimate tensile strength of 1510 MPa and fracture strain of about 7.6%. A tensile deformation model is established, based on the five-stage classification: (1) elastic-elastic, (2) elastic-plastic, (3) plastic-plastic (yield platform), (4) plastic-plastic (work hardening), and (5) plastic...

We use Bai’s conservation equation for cracks, and Rice and Tracey’s equation for the growth of a spherical void in an infinite medium to derive an evolution equation for damage in an anisotropic material. It is then used to delineate the instability strain in a thin anisotropic sheet deformed in a plane stress state of deformation, and obeying Hill’s yield criterion. Assuming that strainand st...

The use of a stress-strain constitutive relation for the undamaged material and a traction-separation cohesive crack model with softening for cracking has been demonstrated to be an effective strategy to predict and explain the size-scale effects on the mechanical response of quasi-brittle materials. In metals, where ductile fracture takes place, the situation is more complex due to the interpl...

Based on the dominated deformation mechanisms of superplastic materials, an assumption for micro-damage evolution is presented. Then, a set of uni®ed viscoplastic-damage constitutive equations is proposed to model material hardening due to the increase of dislocation density and grain growth, as well as material softening due to intergranular void nucleation and growth. The effects of the harde...

The present paper is concerned with the development of a micromechanical model of the hardening, rate-sensitivity and thermal softening of b.c.c. crystals. In formulating the model we specifically consider the following unit processes: double-kink formation and thermally activated motion of kinks; the close-range interactions between primary and forest dislocations, leading to the formation of ...

This article presents two methods to evaluate and draw distinction among general cooperative aggressive strategic behavior in the iterated prisoner’s dilemma (IPD). The first method identifies classes of strategies, clusters them into subclasses based on their or disposition, then comprehensively assess behavior. second relies applying transformative manipulations that soften harden strategies ...