Peridynamic Theory and Its Applications
From MaRDI portal
Publication:2844937
DOI10.1007/978-1-4614-8465-3zbMath1295.74001OpenAlexW23630133MaRDI QIDQ2844937
Erkan Oterkus, Erdogan Madenci
Publication date: 20 August 2013
Full work available at URL: https://doi.org/10.1007/978-1-4614-8465-3
Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Theories of fracture and damage (74A45) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01)
Related Items (only showing first 100 items - show all)
Nonlocal operators with local boundary conditions in higher dimensions ⋮ On a class of nonlocal wave equations from applications ⋮ Extraction of Fragments and Waves After Impact Damage in Particle-Based Simulations ⋮ Peristatic solutions for finite one- and two-dimensional systems ⋮ Dual-Support Smoothed Particle Hydrodynamics for Elastic Mechanics ⋮ Peridynamics for geometrically nonlinear analysis of three-dimensional beam structures ⋮ A 2D novel non-local lattice bond model for initiation and propagation of cracks in rock materials ⋮ Nonlocal wrinkling instabilities in bilayered systems using peridynamics ⋮ Coupling of peridynamics and inverse finite element method for shape sensing and crack propagation monitoring of plate structures ⋮ Computationally efficient and effective peridynamic model for cracks and fractures in homogeneous and heterogeneous materials ⋮ Analysis of dynamic crack propagation in two-dimensional elastic bodies by coupling the boundary element method and the bond-based peridynamics ⋮ A morphing approach to couple state-based peridynamics with classical continuum mechanics ⋮ Peridynamic differential operator and its applications ⋮ Ordinary state-based peridynamic plastic model with Drucker-Prager criterion considering geometric nonlinearity ⋮ A meshless method coupling peridynamics with corrective smoothed particle method for predicting material failure ⋮ A modified bond-based peridynamic model without limitations on elastic properties ⋮ The peridynamics-based finite element method (PeriFEM) with adaptive continuous/discrete element implementation for fracture simulation ⋮ Peridynamics method for problems solve of solids destruction ⋮ A NONLOCAL MODELING FOR SOLVING TIME FRACTIONAL DIFFUSION EQUATION ARISING IN FLUID MECHANICS ⋮ Determination of horizon size in state-based peridynamics ⋮ Non-local modeling for fluid flow coupled with heat transfer by using peridynamic differential operator ⋮ An improved stabilized peridynamic correspondence material model for the crack propagation of nearly incompressible hyperelastic materials ⋮ Computational multiphase periporomechanics for unguided cracking in unsaturated porous media ⋮ Linear peridynamics for triclinic materials ⋮ Non-local gradients in bounded domains motivated by continuum mechanics: fundamental theorem of calculus and embeddings ⋮ Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments ⋮ An extended ordinary state-based peridynamics for non-spherical horizons ⋮ Nonlocal geometric fracture theory: A nonlocal‐local asymptotically compatible framework for continuous–discontinuous deformation of solid materials ⋮ Peridynamic integrals for strain invariants of homogeneous deformation ⋮ The fractal version of the bond‐based peridynamics method ⋮ Computational coupled large‐deformation periporomechanics for dynamic failure and fracturing in variably saturated porous media ⋮ The extended peridynamic model for elastoplastic and/or fracture problems ⋮ A data‐driven bond‐based peridynamic model derived from group method of data handling neural network with genetic algorithm ⋮ Analytical solutions of peristatics and peridynamics for 3D isotropic materials ⋮ A coupling approach of the isogeometric-meshfree method and peridynamics for static and dynamic crack propagation ⋮ A fast adaptive PD-FEM coupling model for predicting cohesive crack growth ⋮ An immersed peridynamics model of fluid-structure interaction accounting for material damage and failure ⋮ An extended peridynamic model equipped with a new bond-breakage criterion for mixed-mode fracture in rock-like materials ⋮ Peridynamic operator method ⋮ A peridynamic model for electromechanical fracture and crack propagation in piezoelectric solids ⋮ An extended ordinary state-based peridynamic model for nonlinear deformation and fracture ⋮ A bond-level energy-based peridynamics for mixed-mode fracture in rocks ⋮ Solving partial differential equations in computational mechanics via nonlocal numerical approaches ⋮ A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure ⋮ A non-local method in peridynamic theory for simulating elastic wave propagation in solids ⋮ Meshless numerical solution for nonlocal integral differentiation equation with application in peridynamics ⋮ The dual approach to optimal control in the coefficients of nonlocal nonlinear diffusion ⋮ Modelling of dynamic fracture in bulk superconductor during pulsed field magnetization using ordinary state-based peridynamics ⋮ An efficient phase-field model of shear fractures using deviatoric stress split ⋮ The Nonlocal Kelvin Principle and the Dual Approach to Nonlocal Control in the Conduction Coefficients ⋮ Thermoelastic response of laminated plates considering interfacial conditions and cracks based on peridynamics ⋮ A discrete surface correction method for bond-based peridynamics ⋮ Peridynamics for mechanism analysis of soil desiccation cracking: coupled hygro-mechanical model, staggered and monolithic solution ⋮ Accelerating convergence of crack propagation simulation in peridynamic models via high-order temporal discretization ⋮ A bond-based peridynamics modeling of polymeric material fracture under finite deformation ⋮ On the application of peridynamics to crack detection in membranes using an upgraded metaheuristic ⋮ Numerical simulation for quasi-static crack growth and dynamic crack branching by coupled state-based PD and XFEM ⋮ An extended peridynamic bond-based constitutive model for simulation of crack propagation in rock-like materials ⋮ Moving interfaces in peridynamic diffusion models and the influence of discontinuous initial conditions: numerical stability and convergence ⋮ An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems ⋮ A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model ⋮ The fully coupled thermo-mechanical dual-horizon peridynamic correspondence damage model for homogeneous and heterogeneous materials ⋮ Ordinary state-based peridynamic model for out-of-plane deformation and damage analysis of composite laminates ⋮ On deformation and fracture of PBX simulant employing modified three-body potential peridynamics model with deformation-based failure criteria ⋮ Weak form of bond-associated peridynamic differential operator for thermo-mechanical analysis of orthotropic structures ⋮ A peridynamic-informed neural network for continuum elastic displacement characterization ⋮ A unified method to simulate electrodeposition and galvanic corrosion using the peridynamic differential operator ⋮ An Euler–Bernoulli beam formulation in an ordinary state-based peridynamic framework ⋮ An efficient peridynamic framework based on the arc-length method for fracture modeling of brittle and quasi-brittle problems with snapping instabilities ⋮ A dissipation informed peridynamic model for dynamic brittle fracture ⋮ Computational homogenization in linear elasticity of peristatic periodic structure composites ⋮ Nonlocal Control in the Conduction Coefficients: Well-Posedness and Convergence to the Local Limit ⋮ On the peridynamic formulation for an orthotropic Mindlin plate under bending ⋮ Noether’s theorem in peridynamics ⋮ Peridynamics review ⋮ Variational principles and generalized Hill’s bounds in micromechanics of linear peridynamic random structure composites ⋮ A Kirchhoff plate formulation in a state-based peridynamic framework ⋮ An ordinary state-based peridynamic model for the fracture of zigzag graphene sheets ⋮ Fourier multipliers for nonlocal Laplace operators ⋮ Formulation of symmetry boundary modeling in non-ordinary state-based peridynamics and coupling with finite element analysis ⋮ An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems ⋮ On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models ⋮ On the computation of energy release rates by a peridynamic virtual crack extension method ⋮ Dual-horizon peridynamics: a stable solution to varying horizons ⋮ Stability of peridynamic correspondence material models and their particle discretizations ⋮ Numerical experiments on the convergence properties of state-based peridynamic laws and influence functions in two-dimensional problems ⋮ A coupling approach of state-based peridynamics with node-based smoothed finite element method ⋮ A two-field state-based peridynamic theory for thermal contact problems ⋮ A state-based peridynamic formulation for functionally graded Kirchhoff plates ⋮ Peridynamics boundary condition treatments via the pseudo-layer enrichment method and variable horizon approach ⋮ A coupling peridynamic approach for the consolidation and dynamic analysis of saturated porous media ⋮ New Insights on Convergence Properties of Peridynamic Models for Transient Diffusion and Elastodynamics ⋮ A modified conjugated bond-based peridynamic analysis for impact failure of concrete gravity dam ⋮ Strongly coupled peridynamic and lattice Boltzmann models using immersed boundary method for flow-induced structural deformation and fracture ⋮ A non-local heat transport model in solids with discontinuities via Lagrangian particle method ⋮ Nonlocal trace spaces and extension results for nonlocal calculus ⋮ Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator ⋮ Fast collocation method for a two-dimensional variable-coefficient linear nonlocal diffusion model ⋮ Fracture parameter investigations of functionally graded materials by using ordinary state based peridynamics ⋮ Anisotropic peridynamics for homogenized microstructured materials
This page was built for publication: Peridynamic Theory and Its Applications
