Meshless local Petrov-Galerkin (MLPG) method for wave propagation in 3D poroelastic solids

DOI10.1016/j.enganabound.2009.10.013zbMath1244.74235OpenAlexW2021821073MaRDI QIDQ441581

Pihua H. Wen

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.10.013

zbMATH Keywords

Biot's theoryporoelasticityDurbin's inversionLaplace-transformlocal boundary integral equationsradial bases function

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10)

Related Items

A meshfree approach for free vibration analysis of ply drop-off laminated conical, cylindrical shells and annular plates, Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation, A stabilized MLPG method for steady state incompressible fluid flow simulation, On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations, Performance of the MLPG method for static shakedown analysis for bounded kinematic hardening structures, A local gradient smoothing method for solving strong form governing equation, An interpolating element-free Galerkin scaled boundary method applied to structural dynamic analysis, A new meshfree approach for three-dimensional free vibration analysis of thick laminated doubly-shell of revolution, A study of meshless methods for optimization of cathodic protection systems

Uses Software

• Algorithm 368

Cites Work

• Unnamed Item
• Unnamed Item
• Fluid flow over a thin deformable porous layer
• Dynamic responses of shear flows over a deformable porous surface layer in a cylindrical tube
• A local boundary integral-based meshless method for Biot's consolidation problem
• The theory of an incompressible solid-fluid mixture
• Oscillatory bending of a poroelastic beam
• The local boundary integral equation (LBIE) and its meshless implementation for linear elasticity
• Numerical analysis of Biot's consolidation process by radial point interpolation method.
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Localized boundary-domain integral formulations for problems with variable coefficients
• Comparison of mixed and isoparametric boundary elements in time domain poroelasticity
• Inverse heat conduction problems by meshless local Petrov-Galerkin method
• Local integral equation method for potential problems in functionally graded anisotropic materials
• The flexure and torsion of bones viewed as anisotropic poroelastic bodies
• A meshless method for axi-symmetric poroelastic simulations: numerical study
• A Theory for Transverse Deflection of Poroelastic Plates
• Element‐free Galerkin methods
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Transient wave propagation in a one-dimensional poroelastic column
• Application of 3D time domain boundary element formulation to wave propagation in poroelastic solids
• A point interpolation method for simulating dissipation process of consolidation
• The influence of elastic waves on dynamic stress intensity factors (three-dimensional problems)