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Peridynamics review - MaRDI portal

Peridynamics review (Q5132434)

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scientific article; zbMATH DE number 7273389

Language	Label	Description	Also known as
English	Peridynamics review	scientific article; zbMATH DE number 7273389

Statements

scholarly article

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Peridynamics review (English)

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Mathematics and Mechanics of Solids

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publication date

12 November 2020

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full work available at URL

http://hdl.handle.net/11693/53217

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zbMATH Keywords

peridynamics

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continuum mechanics

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fracture

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damage

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non-local elasticity

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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VI. The phenomena of rupture and flow in solids

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Revisiting brittle fracture as an energy minimization problem

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The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks

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A Continuum Model for Void Nucleation by Inclusion Debonding

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Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues

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Geometrically nonlinear and consistently linearized embedded strong discontinuity models for 3D problems with an application to the dissection analysis of soft biological tissues.

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Nonlocal Continuum Field Theories

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Reformulation of elasticity theory for discontinuities and long-range forces

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New insights into the classical mechanics of particle systems

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A causality approach to particle dynamics for systems

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Solution strategies for 1D elastic continuum with long-range interactions: smooth and fractional decay

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Adaptive spacetime method using Riemann jump conditions for coupled atomistic-continuum dynamics

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Physical Foundations of Continuum Mechanics

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A fractional model of continuum mechanics

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Peridynamic Theory and Its Applications

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Peridynamic states and constitutive modeling

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A primer in elasticity

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An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures

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Non-ordinary state-based peridynamic analysis of stationary crack problems

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Stability of peridynamic correspondence material models and their particle discretizations

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Handbook of Peridynamic Modeling

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A constitutive model for a linearly elastic peridynamic body

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Dual-horizon peridynamics: a stable solution to varying horizons

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Numerical experiments on the convergence properties of state-based peridynamic laws and influence functions in two-dimensional problems

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A two-dimensional<i>ordinary</i>, state-based peridynamic model for linearly elastic solids

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A fully coupled porous flow and geomechanics model for fluid driven cracks: a peridynamics approach

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Improvements to the Prototype Micro-brittle Model of Peridynamics

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Force flux and the peridynamic stress tensor

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Convergence, adaptive refinement, and scaling in 1D peridynamics

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Peridynamic differential operator and its applications

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Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero

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On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models

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Peridynamic theory of solids from the perspective of classical statistical mechanics

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Survey of existence results in nonlinear peridynamics in comparison with local elastodynamics

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Characterization of function spaces of vector fields and an application in nonlinear peridynamics

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Discretized peridynamics for linear elastic solids

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Peridynamic thermal diffusion

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Kinetics of phase transformations in the peridynamic formulation of continuum mechanics

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The peridynamic formulation for transient heat conduction

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A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities

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Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations

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A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves

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A peridynamics-SPH modeling and simulation of blast fragmentation of soil under buried explosive loads

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A peridynamic formulation of pressure driven convective fluid transport in porous media

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Multiscale dynamics of heterogeneous media in the peridynamic formulation

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Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media

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A multiscale method for nonlocal mechanics and diffusion and for the approximation of discontinuous functions

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A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension

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Multi-scale damage state estimation in composites using nonlocal elastic kernel: an experimental validation

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Peridynamic modeling of membranes and fibers

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An Euler–Bernoulli beam formulation in an ordinary state-based peridynamic framework

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A two-dimensional peridynamic model for thin plates

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Strain energy distribution in a crack-tip region in random fiber networks

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A peridynamic model for the nonlinear static analysis of truss and tensegrity structures

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Higher gradient expansion for linear isotropic peridynamic materials

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Viscoplasticity using peridynamics

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Viscoelastic material models in peridynamics

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Meshfree methods for partial differential equations VIII. Selected contributions based on the presentations at the 8th international workshop, Bonn, Germany, September 7--9, 2015

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A meshfree unification: reproducing kernel peridynamics

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A meshfree method for bending and failure in non-ordinary peridynamic shells

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Convergence studies in meshfree peridynamic simulations

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Continuous and discontinuous finite element methods for a peridynamics model of mechanics

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A fast Galerkin method with efficient matrix assembly and storage for a peridynamic model

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An \(hp\)-Galerkin method with fast solution for linear peridynamic models in one dimension

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A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models

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A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models

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Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems

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Mesh and timestep sensitivity of fracture from thermal strains using peridynamics implemented in Abaqus

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Numerical Integration of On-the-Fly-Computed Enrichment Functions in the PUM

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GraFEA: a graph-based finite element approach for the study of damage and fracture in brittle materials

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A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations

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An efficient augmented finite element method for arbitrary cracking and crack interaction in solids

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The finite element method for the mechanically based model of non-local continuum

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Finite element solutions for nonhomogeneous nonlocal elastic problems

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A finite element method for crack growth without remeshing

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The extended/generalized finite element method: An overview of the method and its applications

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Predicting crack propagation with peridynamics: a comparative study

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Structural stability and failure analysis using peridynamic theory

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A short note on modeling damage in peridynamics

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Prediction of crack paths in a quenched glass plate by using peridynamic theory

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Discretized peridynamics for brittle and ductile solids

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Crack nucleation in a peridynamic solid

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Studies of dynamic crack propagation and crack branching with peridynamics

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Cohesive dynamics and brittle fracture

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Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites

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A peridynamic material model for the analysis of dynamic crack propagation in orthotropic media

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A variationally consistent streamline upwind Petrov-Galerkin smooth particle hydrodynamics algorithm for large strain solid dynamics

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Mesoscale calculations of the dynamic behavior of a granular ceramic

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Quantifying the relationship between cell division angle and morphogenesis through computational modeling

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Computational aspects of growth-induced instabilities through eigenvalue analysis

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Numerical simulation of fracking in shale rocks: current state and future approaches

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Application of the Method of Peridynamics to the Simulation of Hydraulic Fracturing Process

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Wave dispersion and propagation in state-based peridynamics

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On a class of nonlocal wave equations from applications

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Onto resolving spurious wave reflection problem with changing nonlocality among various length scales

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Simulation of elastic wave propagation using cellular automata and peridynamics, and comparison with experiments

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Solitary waves in a peridynamic elastic solid

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Implementing peridynamics within a molecular dynamics code

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Particle Method Modeling of Nonlocal Multiresolution Continua

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On the modeling of transport phenomena in continuum and statistical mechanics

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Heterophilious Dynamics Enhances Consensus

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Mesh sensitivity in peridynamic simulations

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A comparison of different methods for calculating tangent-stiffness matrices in a massively parallel computational peridynamics code

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Improved one-point quadrature algorithms for two-dimensional peridynamic models based on analytical calculations

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Circulant preconditioned iterative methods for peridynamic model simulation

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Identifiers

10.1177/1081286518803411

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5132434

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