Found 101 Documents (Results 1–100)
A spatial nonlocal Green-Naghdi generalized thermoelasticity model based on bond-based peridynamics: transient responses of laminated structures subjected to thermal shock. (English) Zbl 07867720
Peridynamic modeling for multiscale heat transport of phonon Boltzmann transport equation. (English) Zbl 07839798
Peridynamic analysis of thermal behaviour of PCM composites for heat storage. (English) Zbl 1539.74023
A coupled 3D thermo-mechanical peridynamic model for cracking analysis of homogeneous and heterogeneous materials. (English) Zbl 1539.74386
MSC:
74R10
A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model. (English) Zbl 07813448
A peridynamic-enhanced finite element method for thermo-hydro-mechanical coupled problems in saturated porous media involving cracks. (English) Zbl 1536.74225
Moving interfaces in peridynamic diffusion models and the influence of discontinuous initial conditions: numerical stability and convergence. (English) Zbl 1538.74015
Dirichlet-type absorbing boundary conditions for peridynamic scalar waves in two-dimensional viscous media. (English) Zbl 1542.74040
High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation. (English) Zbl 07763842
Regularity of solutions for nonlocal diffusion equations on periodic distributions. (English) Zbl 1518.45010
Numerical solutions for nonlocal wave equations by perfectly matched layers. II: The two-dimensional case. (English) Zbl 07696974
Thermoelastic response of laminated plates considering interfacial conditions and cracks based on peridynamics. (English) Zbl 1515.74051
A peridynamic model for non-Fourier heat transfer in orthotropic plate with uninsulated cracks. (English) Zbl 1510.74007
Weak form of bond-associated peridynamic differential operator for thermo-mechanical analysis of orthotropic structures. (English) Zbl 1517.74008
Peridynamics for mechanism analysis of soil desiccation cracking: coupled hygro-mechanical model, staggered and monolithic solution. (English) Zbl 1539.74043
A practical stress correction method for improving stability of state-based peridynamics based on stress equilibrium equation. (English) Zbl 1537.74013
Viscoplastic flow of functional cellular materials with use of peridynamics. (English) Zbl 1522.74021
Open system peridynamics. (English) Zbl 1514.74005
MSC:
74A15
A robust hybrid spectral method for nonlocal problems with weakly singular kernels. (English) Zbl 1524.65693
New insights on convergence properties of peridynamic models for transient diffusion and elastodynamics. (English) Zbl 1509.74006
Bond-based peridynamics, a survey prospecting nonlocal theories of fluid-dynamics. (English) Zbl 1535.74017
A comparative review of peridynamics and phase-field models for engineering fracture mechanics. (English) Zbl 1505.74191
Numerical solution of a one-dimensional nonlocal Helmholtz equation by perfectly matched layers. (English) Zbl 1499.49083
A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon. (English) Zbl 07532101
Fracture parameter investigations of functionally graded materials by using ordinary state based peridynamics. (English) Zbl 1521.74018
A hybrid meshfree discretization to improve the numerical performance of peridynamic models. (English) Zbl 1507.74058
A novel and effective way to impose boundary conditions and to mitigate the surface effect in state-based peridynamics. (English) Zbl 07863914
Linear peridynamics for triclinic materials. (English) Zbl 07582881
MSC:
74-XX
Maximum principle preserving finite difference scheme for 1-D nonlocal-to-local diffusion problems. (English) Zbl 1507.65139
Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator. (English) Zbl 1481.74034
The role of boundary conditions on convergence properties of peridynamic model for transient heat transfer. (English) Zbl 1464.80005
A fast convolution-based method for peridynamic transient diffusion in arbitrary domains. (English) Zbl 1506.74477
Regularity and stability of finite energy weak solutions for the Camassa-Holm equations with nonlocal viscosity. (English) Zbl 1461.35083
Reviewer: Giuseppe Maria Coclite (Bari)
A non-local heat transport model in solids with discontinuities via Lagrangian particle method. (English) Zbl 1481.74038
MSC:
74A15
The computational framework for continuum-kinematics-inspired peridynamics. (English) Zbl 1465.74016
Comput. Mech. 66, No. 4, 795-824 (2020); correction ibid. 66, No. 4, 825 (2020).
Dirichlet absorbing boundary conditions for classical and peridynamic diffusion-type models. (English) Zbl 1465.74017
A general peridynamics model for multiphase transport of non-Newtonian compressible fluids in porous media. (English) Zbl 1453.76210
A spectral collocation method for nonlocal diffusion equations with volume constrained boundary conditions. (English) Zbl 1433.65321
Communication on partially heated aluminum 6063-T83 enclosure: finite element visualization. (English) Zbl 07571252
MSC:
82-XX
Peridynamics review. (English) Zbl 07273389
MSC:
74-XX
An accurate and efficient numerical method for solving linear peridynamic models. (English) Zbl 1481.65200
Nonlocal operators with local boundary conditions in higher dimensions. (English) Zbl 1412.45017
Adv. Comput. Math. 45, No. 1, 453-492 (2019); correction ibid. 45, No. 1, 493 (2019).
MSC:
45P05
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. (English) Zbl 1419.65018
Reviewer: Victor Michel-Dansac (Toulouse)
An improved coupled thermo-mechanic bond-based peridynamic model for cracking behaviors in brittle solids subjected to thermal shocks. (English) Zbl 1406.74615
Stochastic classical solutions for space-time fractional evolution equations on a bounded domain. (English) Zbl 1401.60126
An axisymmetric ordinary state-based peridynamic model for linear elastic solids. (English) Zbl 1440.74047
A coupling approach of state-based peridynamics with node-based smoothed finite element method. (English) Zbl 1439.74392
Large time behavior and convergence for the Camassa-Holm equations with fractional Laplacian viscosity. (English) Zbl 1400.35028
An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems. (English) Zbl 1405.65158
Reviewer: Andreas Kleefeld (Jülich)
Numerical solution of a two-dimensional nonlocal wave equation on unbounded domains. (English) Zbl 1392.82036
Stability of nonlocal Dirichlet integrals and implications for peridynamic correspondence material modeling. (English) Zbl 1394.45002
Reviewer: Rodica Luca (Iaşi)
Existence and uniqueness of weak solutions for nonlocal parabolic problems via the Galerkin method. (English) Zbl 1516.35480
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. (English) Zbl 1436.35307
Non-local generalization of Darcy’s law based on empirically extracted conductivity kernels. (English) Zbl 1401.76134
MSC:
76S05
Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications. (English) Zbl 1380.65435
Asymptotically compatible schemes for space-time nonlocal diffusion equations. (English) Zbl 1422.65279
On the convergence of a class of nonlocal elliptic equations and related optimal design problems. (English) Zbl 1380.35075
Reviewer: Marcelo Furtado (Brasília)
Robust a posteriori stress analysis for quadrature collocation approximations of nonlocal models via nonlocal gradients. (English) Zbl 1439.74011
On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models. (English) Zbl 1439.74044
A constructive peridynamic kernel for elasticity. (English) Zbl 1439.74024
MSC:
74A45
A new definition of fractional Laplacian with application to modeling three-dimensional nonlocal heat conduction. (English) Zbl 1351.80001
MSC:
80A20
35R11
Asymptotically compatible Fourier spectral approximations of nonlocal Allen-Cahn equations. (English) Zbl 1342.65198
A peridynamic model for the nonlinear static analysis of truss and tensegrity structures. (English) Zbl 1382.74006
Identification of the diffusion parameter in nonlocal steady diffusion problems. (English) Zbl 1342.49053
Nonlocal optimal design: a new perspective about the approximation of solutions in optimal design. (English) Zbl 1322.49020
Improved one-point quadrature algorithms for two-dimensional peridynamic models based on analytical calculations. (English) Zbl 1423.74143
A two-dimensional ordinary, state-based peridynamic model for linearly elastic solids. (English) Zbl 1352.74040
Peridynamic thermal diffusion. (English) Zbl 1349.80020
MSC:
80A20
A peridynamic formulation of pressure driven convective fluid transport in porous media. (English) Zbl 1349.76819
An extended constitutive correspondence formulation of peridynamics based on nonlinear bond-strain measures. (English) Zbl 1323.74003
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. (English) Zbl 1345.35128
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