Fully coupled peridynamic thermomechanics

Oterkus, Selda; Madenci, Erdogan; Agwai, Abigail

doi:10.1016/j.jmps.2013.10.011

Cited by 190 publications

(99 citation statements)

References 39 publications

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“…Moreover, simultaneous crack propagation and interaction can be solved by simple integration of the motion equations. A wide variety of problems can be solved with a peridynamic approach (Oterkus et al 2012(Oterkus et al , 2014Zaccariotto et al 2013;Katiyar et al 2014). The most common technique used for the numerical implementation of the BBP discretises the domain with a uniform grid of nodes and constant horizon Askari 2003, 2005), such a strategy, easy to implement is not efficient from a computational point of view since an increase in accuracy would require a denser grid and a reduced horizon in the whole domain.…”

Section: Introductionmentioning

confidence: 99%

Crack propagation with adaptive grid refinement in 2D peridynamics

2014

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The most common technique for the numerical implementation of peridynamic theory is based on a mesh-free approach, in which the whole body is discretized with a uniform grid and a constant horizon. As a consequence of that computational resources may not be used efficiently. The present work proposes adaptive refinement algorithms for 2D peridynamic grids. That is an essential component to generate a concurrent multiscale model within a unified approach. Adaptive grid refinement is here applied to the study of dynamic crack propagation in two dimensional brittle materials. Refinement is activated by using a new trigger concept based on the damage state of the material, coupled with the more traditional energy based trigger, already proposed in the literature. We present as well a method, to generate the nodes in the refined zone, which is suitable for an efficient numerical implementation. Moreover, strategies for the mitigation of spurious reflections and distortions of elastic waves due to the use of a nonuniform grid are presented. Finally several examples of crack propagation in planar problems are presented, they illustrate the potentialities of the proposed algorithms and the good agreement of the numerical results with experimental data.

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Section: Introductionmentioning

confidence: 99%

Crack propagation with adaptive grid refinement in 2D peridynamics

2014

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“…The effects of material failure/damage is immediately influence local material properties governing the fields of diffusion. The PD theory enables the coupling of different fields [9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Peridynamic Modeling of Thermo-Oxidative Damage Evolution in a Composite Lamina

Oterkus

Madenci

2017

58th AIAA/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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Surface oxidation degrades the durability of polymer marix composites operating at high temperatures due to the presence of strong coupling between the thermal oxidation and structural damage evolution. The mechanism of oxidation in polymer matrix composites leads to shrinkage and damage growth. The thermo-oxidative behavior of composites introduces changes in diffusion behavior and mechanical response of the material. This study presents the derivation of peridynamic formulation for the thermo-oxidative behavior of the polymer matrix composites. As a demonstration purposes, isothermal aging of a unidirectional composite lamina is presented by using peridynamics. Oxidation contributed to the damage growth and its propagation.

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“…She also derived a dimensionless BB-PD form of the coupled equations using the OSB-PD formulation and applied it to solve one dimensional examples. Oterkus et al [33] extended it to solve 2D and 3D problems.…”

Section: Introductionmentioning

confidence: 99%

A non-ordinary state-based peridynamics formulation for thermoplastic fracture

Amani

Öterkuş

Areias

et al. 2016

International Journal of Impact Engineering

141

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In this study, a three-dimensional (3D) non-ordinary state-based peridynamics (NOSB-PD) formulation for thermomechanical brittle and ductile fracture is presented. The Johnson-Cook (JC) constitutive and damage model is used to taken into account plastic hardening, thermal softening and fracture. The formulation is validated by considering two benchmark examples: 1) The Taylor-bar impact and 2) the Kalthoff-Winkler tests. The results show good agreements between the numerical simulations and the experimental results.

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Fully coupled peridynamic thermomechanics

Cited by 190 publications

References 39 publications

Crack propagation with adaptive grid refinement in 2D peridynamics

Crack propagation with adaptive grid refinement in 2D peridynamics

Peridynamic Modeling of Thermo-Oxidative Damage Evolution in a Composite Lamina

A non-ordinary state-based peridynamics formulation for thermoplastic fracture

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