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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Energy-preserving Mixed Finite Element Methods for a Ferrofluid Flow Model
铁磁流体 流动模型 节能混合 有限元方法
2023/4/27
We develop a class of mixed finite element methods for the ferrofluid flow model proposed by Shliomis [Soviet Physics JETP, 1972]. We show that the energy stability of the weak solutions to the model ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A decoupled, linear, and unconditionally energy stable finite element method for a two-phase ferrohydrodynamics model
两相铁 流体动力学模型 无条件能量稳定 有限元方法
2023/4/28
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
A grid-free dilatation element method for quasi-one-dimensional gas dynamics
Compressible flow Gridfree Quasi-one-dimensional flow
2016/5/18
A grid-free scheme for solving quasi-one-dimensional, isentropic, compressible flow in the subsonic regime is developed with a view toward its eventual generalization to three-dimensional turbulent co...
Extended finite element framework for fault rupture dynamics including bulk plasticity
extended finite elements fault rupture dynamics bulk plasticity
2015/7/1
We present an explicit extended finite element framework for fault rupture dynamics accommodating bulk plasticity near the fault. The technique is more robust than the standard split-node method becau...
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 ...
Stabilized low-order finite elements for frictional contact with the extended finite element method
Extended finite element Frictional contact Lagrange multipliers Penalty method Stabilized methods
2015/7/1
Contact problem suffers from a numerical instability similar to that encountered in incompressible elasticity, in which the normal contact pressure exhibits spurious oscillation. This oscillation does...
A contact algorithm for frictional crack propagation with the extended finite element method
contact algorithm frictional crack extended finite element method
2015/7/1
We present an incremental quasi-static contact algorithm for path-dependent frictional crack propagation in the framework of the extended finite element (FE) method. The discrete formulation allows fo...
Assumed enhanced strain and the extended finite element methods: A unification of concepts
Assumed enhanced strain Embedded strong discontinuity Extended finite element method Frictional crack
2015/7/1
We present strong and weak forms of boundary-value problems for a solid with a cohesive–frictional crack. Two commonly used techniques for enhancing the finite element (FE) interpolation are considere...
An extended finite element framework for slow-rate frictional faulting with bulk plasticity and variable friction
extended finite element friction fault plasticity
2015/7/1
We present an extended finite element (FE) approach for the simulation of slow-rate frictional faulting in geologic media incorporating bulk plasticity and variable friction. The method allows the fau...
Critical state plasticity. Part VI:Meso-scale finite element simulation of strain localization in discrete granular materials
Granular materials Strain localization
2015/7/1
Development of more accurate mathematical models of discrete granular material behavior requires a fundamental understanding of deformation and strain localization phenomena. This paper utilizes a mes...
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...
A finite element model for strain localization analysis of strongly discontinuous fields based on standard Galerkin approximation
finite element model strongly discontinuous fields standard Galerkin approximation
2015/7/1
This paper presents a fnite element model for strain localization analysis of elastoplastic solids subjected to discontinuous displacement felds based on standard Galerkin approximation. Strain enhanc...
A boundary element method for the simulation of non-spherical bubbles and their interactions near a free surface
boundary element method singularities solid angle bubble jetting
2012/2/24
The basic principle and numerical technique for simulating two three-dimensional bubbles near a free surface are studied in detail by using boundary element method. The singularities of influence coef...
Geometric nonlinear dynamic analysis of curved beams using curved beam element
Curved beam element Geometric nonlinear formulation Rigid-flexible coupling
2012/2/28
Instead of using the previous straight beam element to approximate the curved beam, in this paper, a curvilinear coordinate is employed to describe the deformations,and a new curved beam element is pr...