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Nonlocal strong forms of thin plate, gradient elasticity, magneto-electro-elasticity and phase field fracture by nonlocal operator method

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/1097-0207(20000820)48:11<1549::aid-nme955>3.0.co;2-aopenalex-snapshot
Extended finite element method for three-dimensional crack modelling
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Reproducing kernel particle methods
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Cracking particles: a simplified meshfree method for arbitrary evolving cracks
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Element‐free Galerkin methods
inferredcites →https://doi.org/10.1002/nme.2861openalex-snapshot
Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
inferredcites →https://doi.org/10.1002/nme.5257openalex-snapshot
Dual‐horizon peridynamics
inferredcites →https://doi.org/10.1002/nme.6527openalex-snapshot
A peridynamic Reissner‐Mindlin shell theory
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Microcontinuum Field Theories
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Micro-structure in linear elasticity
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Theories of elasticity with couple-stress
inferredcites →https://doi.org/10.1007/bf00253945openalex-snapshot
Elastic materials with couple-stresses
inferredcites →https://doi.org/10.1007/s00161-020-00915-yopenalex-snapshot
Derivation of dual-horizon state-based peridynamics formulation based on Euler–Lagrange equation
inferredcites →https://doi.org/10.1007/s00419-017-1329-7openalex-snapshot
On the use of the extended finite element and incremental methods in brittle fracture assessment of key-hole notched polystyrene specimens under mixed mode I/II loading with negative mode I contributions
inferredcites →https://doi.org/10.1007/s00466-017-1439-7openalex-snapshot
Wave dispersion and propagation in state-based peridynamics
inferredcites →https://doi.org/10.1007/s00466-020-01824-2openalex-snapshot
Mixed peridynamic formulations for compressible and incompressible finite deformations
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The computational framework for continuum-kinematics-inspired peridynamics
inferredcites →https://doi.org/10.1007/s10659-007-9125-1openalex-snapshot
Peridynamic States and Constitutive Modeling
inferredcites →https://doi.org/10.1007/s10659-020-09793-6openalex-snapshot
Higher-Order Peridynamic Material Correspondence Models for Elasticity
inferredcites →https://doi.org/10.1007/s10704-014-9970-4openalex-snapshot
Crack propagation with adaptive grid refinement in 2D peridynamics
inferredcites →https://doi.org/10.1007/s10704-016-0126-6openalex-snapshot
Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics
inferredcites →https://doi.org/10.1007/s11440-020-00913-zopenalex-snapshot
Phase field modeling of hydraulic fracture propagation in transversely isotropic poroelastic media
inferredcites →https://doi.org/10.1016/0020-7225(72)90039-0openalex-snapshot
On nonlocal elasticity
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Nonlocal polar elastic continua
inferredcites →https://doi.org/10.1016/0020-7683(68)90036-xopenalex-snapshot
On first strain-gradient theories in linear elasticity
inferredcites →https://doi.org/10.1016/j.advengsoft.2018.08.014openalex-snapshot
A Bézier extraction based XIGA approach for three-dimensional crack simulations
inferredcites →https://doi.org/10.1016/j.cma.2016.12.031openalex-snapshot
Dual-horizon peridynamics: A stable solution to varying horizons
inferredcites →https://doi.org/10.1016/j.cma.2017.03.043openalex-snapshot
Stability of peridynamic correspondence material models and their particle discretizations
inferredcites →https://doi.org/10.1016/j.cma.2017.11.022openalex-snapshot
A coupling approach of state-based peridynamics with node-based smoothed finite element method
inferredcites →https://doi.org/10.1016/j.cma.2018.05.002openalex-snapshot
A stabilized non-ordinary state-based peridynamic model
inferredcites →https://doi.org/10.1016/j.cma.2018.06.015openalex-snapshot
Modeling dynamic fracture of solids with a phase-field regularized cohesive zone model
inferredcites →https://doi.org/10.1016/j.cma.2018.08.026openalex-snapshot
NURBS-based formulation for nonlinear electro-gradient elasticity in semiconductors
inferredcites →https://doi.org/10.1016/j.cma.2018.11.025openalex-snapshot
A modified peridynamics correspondence principle: Removal of zero-energy deformation and other implications
inferredcites →https://doi.org/10.1016/j.cma.2019.112592openalex-snapshot
Possible causes of numerical oscillations in non-ordinary state-based peridynamics and a bond-associated higher-order stabilized model
inferredcites →https://doi.org/10.1016/j.cma.2019.112636openalex-snapshot
Peridynamic Petrov–Galerkin method: A generalization of the peridynamic theory of correspondence materials
inferredcites →https://doi.org/10.1016/j.commatsci.2012.11.053openalex-snapshot
On molecular statics and surface-enhanced continuum modeling of nano-structures
inferredcites →https://doi.org/10.1016/j.compstruc.2017.03.019openalex-snapshot
Higher-order approximation to suppress the zero-energy mode in non-ordinary state-based peridynamics
inferredcites →https://doi.org/10.1016/j.compstruc.2018.08.007openalex-snapshot
Modeling of failure mode switching and shear band propagation using the correspondence framework of peridynamics
inferredcites →https://doi.org/10.1016/j.compstruc.2019.03.005openalex-snapshot
An explicit phase field method for brittle dynamic fracture
inferredcites →https://doi.org/10.1016/j.compstruct.2017.08.071openalex-snapshot
Phase field based peridynamics damage model for delamination of composite structures
inferredcites →https://doi.org/10.1016/j.compstruct.2019.03.035openalex-snapshot
Stress analysis of laminated composite beams using refined zigzag theory and peridynamic differential operator
inferredcites →https://doi.org/10.1016/j.enganabound.2020.03.016openalex-snapshot
A higher-order stress point method for non-ordinary state-based peridynamics
inferredcites →https://doi.org/10.1016/j.euromechsol.2016.08.009openalex-snapshot
Numerical simulation of crack curving and branching in brittle materials under dynamic loads using the extended non-ordinary state-based peridynamics
inferredcites →https://doi.org/10.1016/j.euromechsol.2018.09.003openalex-snapshot
Finite strain analysis of limestone / basaltic magma interaction and fracture: Low order mixed tetrahedron and remeshing
inferredcites →https://doi.org/10.1016/j.finel.2017.10.007openalex-snapshot
Cracking elements: A self-propagating Strong Discontinuity embedded Approach for quasi-brittle fracture
inferredcites →https://doi.org/10.1016/j.ijengsci.2017.09.004openalex-snapshot
Peridynamic formulations enriched with bond rotation effects
inferredcites →https://doi.org/10.1016/j.ijsolstr.2009.03.004openalex-snapshot
A new Kirchhoff plate model based on a modified couple stress theory
inferredcites →https://doi.org/10.1016/j.ijsolstr.2012.04.019openalex-snapshot
A gradient elasticity theory for second-grade materials and higher order inertia
inferredcites →https://doi.org/10.1016/j.ijsolstr.2016.01.019openalex-snapshot
A peridynamic theory for linear elastic shells
inferredcites →https://doi.org/10.1016/j.ijsolstr.2017.10.022openalex-snapshot
A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids
inferredcites →https://doi.org/10.1016/j.jmps.2013.08.001openalex-snapshot
An energy formulation of continuum magneto-electro-elasticity with applications
inferredcites →https://doi.org/10.1016/j.jmps.2019.05.008openalex-snapshot
A conformal gauge theory of solids: Insights into a class of electromechanical and magnetomechanical phenomena
inferredcites →https://doi.org/10.1016/j.jmps.2020.104024openalex-snapshot
On energy release rates in Peridynamics
inferredcites →https://doi.org/10.1016/s0020-7683(02)00152-xopenalex-snapshot
Couple stress based strain gradient theory for elasticity
inferredcites →https://doi.org/10.1016/s0022-5096(99)00029-0openalex-snapshot
Reformulation of elasticity theory for discontinuities and long-range forces
inferredcites →https://doi.org/10.1016/s0065-2156(10)44002-8openalex-snapshot
Peridynamic Theory of Solid Mechanics
inferredcites →https://doi.org/10.1063/1.332803openalex-snapshot
On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves
inferredcites →https://doi.org/10.1177/1081286513509811openalex-snapshot
At the origins and in the vanguard of peridynamics, non-local and higher-gradient continuum mechanics: An underestimated and still topical contribution of Gabrio Piola
inferredcites →https://doi.org/10.1177/1081286513512925openalex-snapshot
A two-dimensional peridynamic model for thin plates
inferredcites →https://doi.org/10.1615/intjmultcompeng.2011002407openalex-snapshot
AN ENERGY BASED FAILURE CRITERION FOR USE WITH PERIDYNAMIC STATES
inferredcites →https://doi.org/10.48550/arxiv.1912.06668openalex-snapshot
A review of Local-to-Nonlocal coupling methods in nonlocal diffusion and nonlocal mechanics

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4677370openalex-extracted
Ductile Fracture Modeling by Phase Field, Hencky Strain Elasticity and Finite J2 Plasticity Using Nonlocal Operator Method
inferred← citeshttps://doi.org/10.2139/ssrn.5055143openalex-snapshot
Dual-Horizon Peridynamics-Based Variational Damage Modelling for Complex Dynamic Fractures
inferred← citeshttps://doi.org/10.2139/ssrn.5269030openalex-snapshot
An Electro-Mechanical Coupling Peridynamic Model for Deformation and Free Vibration Analysis of Piezoelectric Solids with Defects
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