饱和多孔介质的超粘弹性本构理论研究

发布时间：2017-12-31 09:18

本文关键词：饱和多孔介质的超粘弹性本构理论研究　出处：《应用数学和力学》2016年06期 　论文类型：期刊论文

【摘要】：为了建立能考虑固体材料、多孔固体与流体可逆和不可逆变形的饱和多孔介质超粘弹性理论,以多孔固相为参考构型,以有效应力、材料真实应力和流相真实孔压作为状态变量,结合混合物均匀化响应原理获得各项均符合热力学功共轭特征的饱和多孔介质能量平衡方程,根据非平衡热力学熵分解理论求得熵流和熵产.结果表明,超弹塑性理论是该理论的一个特例;多孔固体的总变形可分为固相间隙和材料变形两部分,间隙应变与Terzaghi有效应力构成功共轭对,材料应变与材料真实应力构成功共轭对.饱和多孔介质的自由能可分为固相和流相两部分.当固相间隙和材料变形解耦时,固相所含的自由能又可分为间隙和材料两部分.证明了Skempton有效应力不是饱和多孔介质的基本应力状态变量.
[Abstract]:In order to establish the superviscoelastic theory of saturated porous media which can consider solid material, porous solid and fluid reversible and irreversible deformation, the porous solid phase is used as the reference configuration and the effective stress is used. The real stress of the material and the real pore pressure of the flow phase are taken as the state variables, and the energy balance equations of the saturated porous media are obtained according to the thermodynamic work conjugation characteristics combined with the homogenization response principle of the mixture. The entropy flow and entropy generation are obtained from the entropy decomposition theory of nonequilibrium thermodynamics. The results show that the superelastic-plastic theory is a special case of the theory. The total deformation of porous solids can be divided into two parts: solid phase gap and material deformation. The gap strain and Terzaghi effective stress constitute work conjugate pair. The free energy of saturated porous media can be divided into two parts: solid phase and flow phase. The free energy contained in the solid phase can be divided into two parts: the gap and the material. It is proved that the Skempton effective stress is not the basic stress state variable of saturated porous media.
【作者单位】：浙江大学建筑工程学院;
【基金】：国家自然科学基金(51178419)~~
【分类号】：O357.3
【正文快照】： 符号说明1二阶单位张量bα第α组分的外体力密度α={S,F}组分指征变量DS多孔固体的总应变张量变化率DN与多孔固体间隙有关的应变张量变化率D耗散率函数D*,f功共轭的耗散率势函数ES多孔固体的Green应变EN与多孔固体间隙有关的Green应变εα第α组分的能量供给量Eα第α组分的内

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