2018
DOI: 10.1016/j.cma.2018.06.012
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Crack propagation in dynamics by embedded strong discontinuity approach: Enhanced solid versus discrete lattice model

Abstract: In this work we propose and compare the two models for crack propagation in dynamics. Both models are based on embedded strong discontinuities for localized cohesive type crack description and both provide the advantage to not to require tracking algorithms. The first one is based on discrete lattice approach, where the domain is discretized with Voronoi cells held together prior to crack occurrence by cohesive links represented in terms of Timoshenko beams. The second one is based on constant strain triangula… Show more

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Cited by 60 publications
(35 citation statements)
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“…The UPM solves the coupled transport equations one after another and transfers the field states among different physical/chemical fields back and forth, avoiding strong coupled description of the multi-fields such as [53][54][55][56][57]. Moreover, the simulations of crack initiation and propagation are not considered, avoiding complex models presented in such as [58][59][60][61][62][63][64][65][66]. The UPM transforms 3D complicated fractures and porous medium into 1D artificial connected pipes in domain space and it uses the equivalent pipe networks to simulate the mass/energy transport processes within a 3D fractured porous medium.…”
Section: Introductionmentioning
confidence: 99%
“…The UPM solves the coupled transport equations one after another and transfers the field states among different physical/chemical fields back and forth, avoiding strong coupled description of the multi-fields such as [53][54][55][56][57]. Moreover, the simulations of crack initiation and propagation are not considered, avoiding complex models presented in such as [58][59][60][61][62][63][64][65][66]. The UPM transforms 3D complicated fractures and porous medium into 1D artificial connected pipes in domain space and it uses the equivalent pipe networks to simulate the mass/energy transport processes within a 3D fractured porous medium.…”
Section: Introductionmentioning
confidence: 99%
“…The unified pipe-network method (UPM) is one of these simplified methods; it uses equivalent pipe networks to simulate the mass/energy transport processes within a porous/fractured medium. With the UPM, 2D and 3D mass/energy transport problems can be transformed into equivalent 1D problems, similar to the lattice element method (LEM) [50][51][52]. The fractures and porous medium can then be discretized using the same pipe-network system [53,54], which represents a significant advantage that provides a higher computing efficiency and greater numerical stability than other methods.…”
Section: Introductionmentioning
confidence: 99%
“…The UPM solves the coupled transport equations one after another and transfers the field states among different physical/chemical fields back and forth, avoiding strong coupled description of the multi-fields such as [53][54][55][56][57]. Moreover, the simulations of crack initiation and propagation are not considered, avoiding complex models presented in such as [58][59][60][61][62][63][64][65][66]. The UPM transforms 3D complicated fractures and porous medium into 1D artificial connected pipes in domain space and it uses the equivalent pipe networks to simulate the mass/energy transport processes within a 3D fractured porous medium.The properties of pipes are obtained according to the geometrical, hydraulic and transport properties of the corresponding fractures and rock matrices.…”
Section: Introductionmentioning
confidence: 99%