A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
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Publication:419644
DOI10.1016/j.jcp.2011.12.017zbMath1253.80002OpenAlexW2068110329WikidataQ57259342 ScholiaQ57259342MaRDI QIDQ419644
Florin Bobaru, Monchai Duangpanya
Publication date: 18 May 2012
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://digitalcommons.unl.edu/mechengfacpub/103
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Cites Work
- Unnamed Item
- Unnamed Item
- A peridynamic formulation for transient heat conduction in bodies with evolving discontinuities
- Peridynamic model for dynamic fracture in unidirectional fiber-reinforced composites
- Analytic solutions of a two-dimensional rectangular heat equation
- Discrete thermal element modelling of heat conduction in particle systems: Basic formulations
- Ordinary and partial differential equations. With special functions, Fourier series, and boundary value problems
- Studies of dynamic crack propagation and crack branching with peridynamics
- The peridynamic formulation for transient heat conduction
- On the effective electroelastic properties of microcracked generally anisotropic solids
- Unstable growth of thermally induced interacting cracks in brittle solids
- Heat conduction analysis of a plate with multiple insulated cracks by the finite element alternating method
- Reformulation of elasticity theory for discontinuities and long-range forces
- Determination of crack spacing and penetration due to shrinkage of a solidifying layer
- Analysis of two-dimensional mixed-mode crack problems by finite element alternating method
- Convergence, adaptive refinement, and scaling in 1D peridynamics
- Transient thermal conduction analysis of a rectangular plate with multiple insulated cracks by the alternating method
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