Analysis of adiabatic shear bands in heat-conducting elastothermoviscoplastic materials by the meshless local Bubnov-Galerkin method

DOI10.1002/cnm.1139zbMath1173.74048OpenAlexW2103080622MaRDI QIDQ3183267

Davide Spinello, Romesh C. Batra

Publication date: 19 October 2009

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1139

zbMATH Keywords

Lagrange multipliersshear strain localizationsemidiscrete formulationlocal nonlinear weak formulation

Mathematics Subject Classification ID

Related Items (4)

Analysis of adiabatic shear bands in thermo-elasto-viscoplastic materials by using piece-wise discontinuous basis functions ⋮ Effect of shear-void-growth-softening on adiabatic shear-band-spacing in ductile materials ⋮ A meshless method for two-dimensional diffusion equation with an integral condition ⋮ Analysis of electrostatic MEMS using meshless local Petrov-Galerkin (MLPG) method

Uses Software

• LSODE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of adiabatic shear bands in elasto-thermo-viscoplastic materials by modified smoothed-particle hydrodynamics (MSPH) method
• Modified smoothed particle hydrodynamics method and its application to transient problems
• SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations
• Free and forced vibrations of a segmented bar by a meshless local Petrov-Galerkin (MLPG) formulation
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• A local boundary integral equation (LBIE) method in computational mechanics, and a meshless discretization approach
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• \(hp\)-meshless cloud method
• The partition of unity finite element method: basic theory and applications
• Analysis of thin beams, using the meshless local Petrov-Galerkin method, with generalized moving least squares interpolations
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Analysis of cylindrical bending thermoelastic deformations of functionally graded plates by a meshless local Petrov-Galerkin method
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• Vibrations of Cracked Euler-Bernoulli Beams using Meshless Local Petrov-Galerkin (MLPG) Method
• Surfaces Generated by Moving Least Squares Methods
• The natural element method in solid mechanics
• Element‐free Galerkin methods
• Reproducing kernel particle methods
• Treatment of material discontinuity in two meshless local Petrov–Galerkin (MLPG) formulations of axisymmetric transient heat conduction
• Effect of viscoplastic relations on the instability strain, shear band initiation strain, the strain corresponding to the minimum shear band spacing, and the band width in a thermoviscoplastic material

This page was built for publication: Analysis of adiabatic shear bands in heat-conducting elastothermoviscoplastic materials by the meshless local Bubnov-Galerkin method