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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Deformation rigidity of Fano manifolds
法诺歧管 变形刚度 光滑射影品种X
2023/4/17
A smooth projective variety X is called rigid if any deformation of X is isomorphic to itself. A first example is the projective space, but in general it is a subtle and difficult problem to prove the...
Mathematical framework for unsaturated flow in the finite deformation range
finite deformation finite element heterogeneity porous media unsaturated soil
2015/7/1
The presence of fluid in the pores of a solid imposes a volume constraint on the deformation of the solid. Finite changes in the pore volume alter the degree of saturation of a porous material, impact...
Discrete micromechanics of elastoplastic crystals in the finite deformation range
Crystal plasticity Finite deformation Micromechanics Stress-point integration Strong discontinuity
2015/7/1
We present a rate-independent crystal plasticity theory in the finite deformation range. The formulation revolves around theory of distribution and strong discontinuity concepts applied to the slip sy...
On the pore-scale mechanisms leading to brittle and ductile deformation behavior of crystalline rocks
crystal plasticity deformation mechanisms finite element heterogeneity microfracture
2015/7/1
Deformation mechanisms at the pore scale are responsible for producing large strains in porous rocks. They include cataclastic flow, dislocation creep, dynamic recrystallization, diffusive mass transf...
Finite deformation formulation for embedded frictional crack with the extended finite element method
finite deformation frictional crack embedded discontinuity extended finite element
2015/7/1
We reformulate an extended finite element (FE) framework for embedded frictional cracks in elastoplastic solids to accommodate finite deformation, including finite stretching and rotation. For the FE ...
Computational Aspects of Elasto-Plastic Deformation in Polycrystalline Solids
Computational Aspects Elasto-Plastic Deformation Polycrystalline Solids
2015/7/1
The overall elasto-plastic behavior of single crystals is governed by individual slips on crystallographic planes, which occur when the resolved shear stress on a critical slip system reaches a certai...
Modeling deformation banding in dense and loose fluid-saturated sands
Modeling deformation banding dense and loose fluid-saturated sands
2015/7/1
Balance of mass and linear momentum of a solid–fluid mixture furnish a complete set of equations from which the displacements of the solid matrix and the pore pressures can be resolved for the case of...
Cam-Clay plasticity. Part V: A mathematical framework for three-phase deformation and strain localization analyses of partially saturated porous media
Cam-Clay plasticity
2015/7/1
We present a mathematical framework for deformation and strain localization analyses of partially saturated granular media using three-phase continuum mixture theory. First, we develop conservation la...
Stabilized low-order finite elements for coupled solid-deformation/fluid-diffusion and their application to fault zone transients
Coupled analysis Fault zone Fluid flow Mixed formulation Stabilized finite elements
2015/7/1
Finite element simulations of coupled solid-deformation/fluid-diffusion occurring in earthquake fault zones often require high-fidelity descriptions of the spatial and temporal variations of excess po...
Finite element simulation of strain localization with large deformation: capturing strong discontinuity using a Petrov–Galerkin multiscale formulation
Finite element simulation strain localization with large deformation strong discontinuity Petrov–Galerkin multiscale formulation
2015/7/1
The finite element model for strain localization analysis developed in a previous work is generalized to the finite deformation regime. Strain enhancements via jumps in the displacement field are capt...
A finite element model of localized deformation in frictional materials taking a strong discontinuity approach
finite element model localized deformation frictional materials strong discontinuity approach
2015/7/1
A finite element model of localized deformation in frictional materials taking a strong discontinuity approach is presented. A rate-independent, non-associated, strain-softening Drucker-Prager plastic...
Transient behavior of the thermocapillary migration of drops under the influence of deformation
Transient behavior the thermocapillary migration the influence of deformation Fluid Dynamics
2011/8/2
Abstract: The transient thermocapillary migration of drops with nontrivial deformation is studied. The finite difference method is employed to solve the incompressible Navier-Stokes equations coupled ...
Application of color structured light pattern to measurement of large out-of-plane deformation
Out-of-plane deformation Surface contouring Color structured light Plate deflection Rectangular tube buckling
2012/2/28
Measurement of out-of-plane deformation is significant to understanding of the deflection mechanisms of the plate and tube structures. In this study, a new surface contouring technique with color stru...
Bending of orthotropic plates resting on Pasternak’s foundations using mixed shear deformation theory
Mixed theory Bending Rectangular plates Pasternak’s model
2012/2/28
The mixed first-order shear deformation plate theory (MFPT) is employed to study the bending response of simply-supported orthotropic plates. The present plate is subjected to a mechanical load and re...
MOISTURE INTRUSION IN VISCOELASTIC POROUS MEDIA: INDUCED-STRESS AND DEFORMATION
moisture intrusion moisture content stress
2009/10/14
Porous media exposed to humid air absorb moisture which can lead to extensive internal damage and failure. In this paper, we analyze numerically the influence of the moisture intrusion in a two-layer ...