摘要
基于修正的Biot热弹性本构理论,得到了饱和多孔介质热-力耦合的动力学控制方程。针对半空间孔隙介质在内置简谐热-力轴对称载荷作用下的动力问题,利用Hankel变换获得了响应的解析表达式,并利用Han-kel逆变换进行数值求解,分析了埋置深度、表面热边界条件等对响应的影响规律。结果表明:孔隙水压力在载荷作用处上方有负压出现;环向、径向及竖向应力在载荷作用处发生突变,且在载荷作用处上方均出现拉应力;在载荷作用处下方,孔隙水压力及竖向、径向和环向应力均随着深度的增大而减小。当内置热载荷仅设置温差,而无外热源输入时,温差对孔隙介质中的响应几乎不产生影响。当孔隙介质表面绝热时,孔隙水压力小于表面等温情况下的值。
Based on the modified Biot＇s thermo-elastic constitutive theory, the thermo-mechanical coupled dynamic governing equations for saturated porous materials were derived. As to the problem of the half- space porous media under embedded axisymmetric thermo-mechanical loads, the analytical responses were obtained by Hankel transformation and the differences caused by different surface thermal conditions were analysed. The numerical results by the inverse Hankel transformation indicate that the pore pressure appears negative while the normal stresses are positive in area over the loads embedded depth. At the em- bedded depth, the normal stresses increase dramatically. The pore pressure and the normal stresses de- crease with the increase of depth in area under the embedded depth. The temperature has almost no effect on responses if there is no extra heat source. Value of the pore pressure for insulated boundary condition is less than that when the boundary surface is isothermal.
出处
《力学季刊》
CSCD
北大核心
2013年第1期65-73,共9页
Chinese Quarterly of Mechanics
基金
国家自然科学基金(50978162
51278292)
