... temperatures. Two fixed meshes with 64 and 128 elements over the 2 mm thick plate and one mesh with 32 elements over the thickness with adaptive remeshing were used in the simulations. Both the formation of adiabatic shear bands in the perforation process and the modeling of the thermal softening effects...

... to failed material, or if it is failed. The intact and failed strengths are also dependent on the pressure and the strain rate. Thermal softening, damage softening, time-dependent softening, and the effect of the third invariant are also included. The shear modulus can be constant or variable. The pressure...

...Hui-Hui Dai; Xiaowu Zhu; Zhen Chen An analytical study is taken to investigate the relationship between material softening and structural softening through the use of a model problem in one dimension. General nonlinear constitutive relations are used. Compared with the bilinear assumptions...

... in nonadhesive Hertz contact and as a nonlinear softening spring in adhesive contact. In the Hertz contact, due to lift-off, the contact length is independent of the load. However, in adhesive contact, larger load results in smaller contact length. Unlike the Hertz contact in which lift-off always occurs when...

... fields, which are the two variables causing the softening, were carried out for the Weldox steels and a mesh size of 30 μ m . These simulations indicate a reduction in the mesh sensitivity for both the coupled and uncoupled damage approaches when nonlocal averaging is employed. 01 02 2008 02 10...

...Bernhard Pichler; Luc Dormieux This paper deals with the dissipation associated with quasistatic microcracking of brittle materials exhibiting softening behavior. For this purpose an elastodamaging cohesive zone model is used, in which cohesive tractions decrease (during crack propagation...

... with the material characteristic length, also the post-peak softening and fracture. The framework of the microplane model is adopted. The model exploits the spectral decomposition of the transversely isotropic stiffness matrix of the material to define orthogonal strain modes at the microplane level...

...-known MRS Lade model whereby the suction and the effective stress tensor are introduced as additional independent and dependent stress components, respectively. Consequently the cap and cone yield conditions of the MRS Lade model both in hardening and softening as well as the internal evolution laws...

... in the coordinates of Mohr. The results in this work demonstrate the capability of thermodynamically consistent gradient-dependent elastoplastic model formulations to suppress the localized failure modes of the classical plasticity that take place when the hardening/softening modulus H ¯ equals the critical value...

...-independent J 2 plastic continuum material model with strain softening, by using a projection-type procedure determined by the Continuum-Strong Discontinuity Approach. The numerical examples emphasize the increase of the numerical solution accuracy obtained with the present strategy as compared...

.... At the macroscopic level, different characteristic regimes are identified in the measured shear and normal stress-strain curves: elastic I, elastic II, nucleation, softening, and crushing. The first elastic regime shows a conventional linear elastic response, whereas the second elastic regime is nonlinear due...

... hardening softening This short note does not contain new results about localization, but a new and simpler way to present them. Specifically, this note presents an alternative procedure to demonstrate the localization criterion. Originally, the localization analysis was expressed in terms...

...K. Y. Volokh A softening hyperelastic continuum model is proposed for analysis of brittle fracture. Isotropic material is characterized by two standard parameters—shear and bulk modulus—and an additional parameter of the volumetric separation work . The model can be considered as a volumetric...

... modulus and viscosity from thermal softening to thermal hardening with rising temperature, which does not involve any phase change, has been observed in certain elastomers. An explanation about this interesting phenomenon is given based on thermodynamic considerations. A theoretical analysis is performed...