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A Stabilized Mixed Finite Element Method for Nearly Incompressible Elasticity
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We present a new multiscale/stabilized finite element method for compressible and incompressible elasticity. The multiscale method arises from a decomposition of the displacement field into coarse ...
Stabilized Finite Element Methods for the Schrödinger Wave Equation
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This paper presents two stabilized formulations for the Schrödinger wave equation. First formulation is based on the Galerkin/least-squares (GLS) method, and it sets the stage for exploring ...
Finite-Element Formulation for Analysis of Laminated Composites
Publisher: American Society of Civil Engineers
Abstract: This paper presents a multilayered/multidirector and shear-deformable finite-element formulation of shells for the analysis of composite laminates. The displacement field is assumed continuous across the finite-element ...
New Stabilized Finite Element Method Embedded with a Cap Model for the Analysis of Granular Materials
Publisher: American Society of Civil Engineers
Abstract: Standard displacement-based finite element formulations show a tendency to lock in the modeling of nearly incompressible materials. This overly stiff response often leads to an overestimation of the collapse load for the ...
Discontinuous Galerkin Method for Frictional Interface Dynamics
Publisher: American Society of Civil Engineers
Abstract: A stabilized discontinuous Galerkin (DG) formulation is presented for transient small deformation contact problems involving friction with application to the modeling of bolted lap joints. The method is an extension of ...
Special Issue on Stabilized, Multiscale, and Multiphysics Methods in Fluid Mechanics
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This special issue of the Journal of Applied Mechanics is based on the ASME International Mechanical Engineering Congress and Exposition ASME05 and ASME06. The mini-symposium on Challenges and ...