This article presents a state-of-the-art review of computational large deformation geomechanics,focusing on the recently developed periporomechanics(PPM)paradigm.PPM is a nonlocal reformulation of classical continuum ...This article presents a state-of-the-art review of computational large deformation geomechanics,focusing on the recently developed periporomechanics(PPM)paradigm.PPM is a nonlocal reformulation of classical continuum poromechanics for geomaterials through peridynamic states and the effective force concept.The governing equations are integral-differential equations in which a length scale is present.In PPM,the porous media,such as geomaterials,are assumed to consist of a finite number of mixed material points which have two types of degrees of freedom,i.e.,solid displacement and pore fluid pressure.Consistent with its mathematical formulation,the field equations of PPM are spatially discretized by a hybrid Lagrangian-Eulerian meshless method.Thus,PPM is robust for modeling large deformation and discontinuities in geomaterials.First,we review the recent development of the coupled PPM for modeling coupled solid deformation and fluid flow processes in deformable porous materials.Second,we review the advancement of PPM for modeling large deformation in geomaterials.Third,we present numerical examples to showcase the efficacy of the PPM paradigm for modeling large deformation in variably saturated geomaterials.Finally,we summarize the research needs and present work in PPM for modeling large deformation in geomaterials with applications in geo-hazards such as landslides.展开更多
基金supported in part by the US National Science Foundation(NSF)CAREER program under contract number CMMI1944009.
文摘This article presents a state-of-the-art review of computational large deformation geomechanics,focusing on the recently developed periporomechanics(PPM)paradigm.PPM is a nonlocal reformulation of classical continuum poromechanics for geomaterials through peridynamic states and the effective force concept.The governing equations are integral-differential equations in which a length scale is present.In PPM,the porous media,such as geomaterials,are assumed to consist of a finite number of mixed material points which have two types of degrees of freedom,i.e.,solid displacement and pore fluid pressure.Consistent with its mathematical formulation,the field equations of PPM are spatially discretized by a hybrid Lagrangian-Eulerian meshless method.Thus,PPM is robust for modeling large deformation and discontinuities in geomaterials.First,we review the recent development of the coupled PPM for modeling coupled solid deformation and fluid flow processes in deformable porous materials.Second,we review the advancement of PPM for modeling large deformation in geomaterials.Third,we present numerical examples to showcase the efficacy of the PPM paradigm for modeling large deformation in variably saturated geomaterials.Finally,we summarize the research needs and present work in PPM for modeling large deformation in geomaterials with applications in geo-hazards such as landslides.
