New Constitutive Expression of Thermo-Elasto-Plastic Impact Dynamic Problems for Large-Scale Slab

摘要

With regard to three-dimensional special large-scale slab, large-scale slab will be provided with special property. The control equations of stress-strain constitutive relationship are presented, and the evanescence impact transient thermal loading or thermo-elasto-plastic is considered. For the sake of efficacious theoretics, the research outcomes are efficacious. When in specific temperature, it incarnates essentiality for the researching on the thermo- elasto-plastic evanescence impact problems for the three-dimensional large-scale slab. Thermodynamic forces driving field singularities in thermo elasticity (or more complex constitutive descriptions) have been shown to belong to the above-highlighted class of material forces. The singularity sets of interest (and the only ones in three- dimensional space) are points, lines and walls (transition zones of physically non-zero thickness but viewed mathematically as singular surfaces of zero thickness). In the case of brittle fracture (line of singularity viewed as a point, the crack tip, in a planar problem) and the progress of discontinuity fronts (phase-transition fronts and shock waves) which are singular surfaces of the first order in Hadamard’s classical classification) one shows exactly that dissipation is strictly related to the power expanded by such forces in the irreversible progress of the singularity set. In this research, from the concerned mechanics theoretic of large-scale slab, the constitutive relationship for thermo-elasto-plastic evanescence impact problems will be established. Through analyzing the ultimateness, it brings forth that the evanescence impact transient thermal loading has an important effect on the constitutive relationship performance of large-scale slab; it is provided with ardent dynamical characteristic. The several special simulation connection of large-scale slab had been found.