Application of the finite volume method and unstructured meshes to linear elasticity

DOI<267::AID-NME884>3.0.CO;2-Q 10.1002/(SICI)1097-0207(20000520)48:2<267::AID-NME884>3.0.CO;2-QzbMath0990.74077OpenAlexW2107847621MaRDI QIDQ4493835

Henry G. Weller, Hrvoje Jasak

Publication date: 26 August 2002

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(20000520)48:2<267::aid-nme884>3.0.co;2-q

zbMATH Keywords

convergence linear elasticity finite volume method stress concentration unstructured mesh iterative solvers circular hole second-order discretization wave propagation in bar segregated solution procedure Diesel injector valve seat linear stress parallel distributed memory computer

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Stress concentrations, singularities in solid mechanics (74G70) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (31)

Partitioned solver for strongly coupled fluid-structure interaction ⋮ On the implementation of low-dissipative Runge-Kutta projection methods for time dependent flows using OpenFOAM{\circledR} ⋮ Implementation of the ghost fluid method for free surface flows in polyhedral finite volume framework ⋮ A stable numerical implementation of integral viscoelastic models in the OpenFOAM\(^{\circledR}\) computational library ⋮ GFV solution on UTE mesh for transient modeling of concrete aging effects on thermal plane strains during construction of gravity dam ⋮ A low-order finite element method for three dimensional linear elasticity problems with general meshes ⋮ Finite-volume stress analysis in multi-material linear elastic body ⋮ A physical perspective of the element-based finite volume method and FEM-Galerkin methods within the framework of the space of finite elements ⋮ Cell‐centered finite volume discretizations for deformable porous media ⋮ Development of a semi‐implicit contact methodology for finite volume stress solvers ⋮ A finite volume penalty‐based implicit procedure for the treatment of the frictionless contact boundaries ⋮ Influence of flow-fiber coupling during mold-filling on the stress field in short-fiber reinforced composites ⋮ An upwind vertex centred finite volume algorithm for nearly and truly incompressible explicit fast solid dynamic applications: total and updated Lagrangian formulations ⋮ Unstructured finite volume method for matrix free explicit solution of stress-strain fields in two dimensional problems with curved boundaries in equilibrium condition ⋮ Finite volume meshless local Petrov-Galerkin method in elastodynamic problems ⋮ A finite element scheme with the aid of a new carving technique combined with smoothed integration ⋮ Numerical simulation of linear and nonlinear waves in hypoelastic solids by the CESE method ⋮ A finite volume penalty based segment-to-segment method for frictional contact problems ⋮ An upwind cell centred total Lagrangian finite volume algorithm for nearly incompressible explicit fast solid dynamic applications ⋮ An extended finite volume model for implicit cohesive zone fracture propagation in a poroelastic medium ⋮ The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions ⋮ Numerical simulation of weakly compressible hyper-elastic solids using a conservative pressure-velocity formulation on arbitrary Lagrangian-Eulerian framework ⋮ A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow ⋮ A novel pressure-velocity formulation and solution method for fluid-structure interaction problems ⋮ A matrix-free implicit unstructured multigrid finite volume method for simulating structural dynamics and fluid-structure interaction ⋮ Stable Cell-Centered Finite Volume Discretization for Biot Equations ⋮ A fourth-order finite volume method for structural analysis ⋮ A locally conservative stress recovery technique for continuous Galerkin FEM in linear elasticity ⋮ A large strain finite volume method for orthotropic bodies with general material orientations ⋮ An efficient automatic adaptive algorithm for cohesive crack propagation modeling of concrete structures using matrix-free unstructured Galerkin finite volume method ⋮ A Lagrangian cell‐centred finite volume method for metal forming simulation

Cites Work

This page was built for publication: Application of the finite volume method and unstructured meshes to linear elasticity