کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
798272 1467134 2009 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the effective stress in unsaturated porous continua with double porosity
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
On the effective stress in unsaturated porous continua with double porosity
چکیده انگلیسی

Using mixture theory we formulate the balance laws for unsaturated porous media composed of a double-porosity solid matrix infiltrated by liquid and gas. In this context, the term ‘double porosity’ pertains to the microstructural characteristic that allows the pore spaces in a continuum to be classified into two pore subspaces. We use the first law of thermodynamics to identify energy-conjugate variables and derive an expression for the ‘effective’, or constitutive, stress that is energy-conjugate to the rate of deformation of the solid matrix. The effective stress has the form σ¯=σ+Bp¯1, where σσ is the total Cauchy stress tensor, BB is the Biot coefficient, and p¯ is the mean fluid pressure weighted according to the local degrees of saturation and pore fractions. We identify other emerging energy-conjugate pairs relevant for constitutive modeling of double-porosity unsaturated continua, including the local suction versus degree of saturation pair and the pore volume fraction versus weighted pore pressure difference pair. Finally, we use the second law of thermodynamics to determine conditions for maximum plastic dissipation in the regime of inelastic deformation for the unsaturated two-porosity mixture.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Mechanics and Physics of Solids - Volume 57, Issue 8, August 2009, Pages 1182–1193
نویسندگان
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