A New Format of Elasto-Plastic Constitutive Relation for Frozen Soil Porous Medium

摘要

The constitutive equation about elasto-plastic problems was established by importing concerned Concepts not only classical but also stop-press production, the equation could be used for 3-D porous medium. In continuum mechanics we describe an elastic-plastic material element by a constitutive equation of the form. As a result of hypersensitive for temperature of frozen soil, Crystallographic texture is described mathematically by the orientation distribution function (ODF), which has the rotation group as its domain. It is the ODF which determines the elastic symmetries of the polycrystalline in the micromechanical models cited above. Another example comes from the biomechanics of chancellors bone tissues. The chancellors structure is a lattice of narrow rods and plates of calcified bone tissue called trabeculae. The trabeculae are surrounded by marrow. When temperature altering, the constitutive equation would be temperature susceptive, so there was embodiment about the temperature susceptive coefficients. Through popularizing the research production, it could be found that temperature loading had an important influence on the constitutive expression, which embodiment in the modality of performance of frozen soil porous medium. Based our disquisition in theories and applications about elasto-plastic and other significative conclusions and calculating techniques, the control equations of stress-strain constitutive relationship was presented, and the temperature loading for elasto-plastic was considered. For the sake of efficacious theoretic, the research outcomes were significative. Weight relation for porous medium had been given when considering the Jaumann rate of Kirchhoff stress. Basic model and expresses in response to multifarious type of frozen soil porous medium, basic weight relation model could be depicted accordingly. Field equation of the elasto-plastic would represent in general modality, constitutive relation of elasto-plastic had been excogitated concern in the process of investigating material idiosyncrasy; this modality was adaptive for acquired for elasto-plastic idiosyncrasy. Finally, there are some original coefficients deservedly as the linear hypostasis for the flux and drives force with the elementary hypothesis of constitutive relation; the research established the ordinary constitutive relation law of frozen soil porous medium and inner thermal liquid, the temperature field distribution would variety in deferent circumstance. Several simulations for frozen soil porous medium have been excogitated; it indicated that the investigation would be significative.