Discontinuous mechanical problems studied with a peridynamics-based approach

Zaccariotto, Mirco; Sarego, Giulia; Dipasquale, Daniele; Shojaei, Arman; Bazazzadeh, Soheil; Mudrić, Teo; Duzzi, Matteo; Galvanetto, Ugo

doi:10.1007/bf03404736

Cited by 4 publications

(2 citation statements)

References 30 publications

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“…Accordingly, the efficiency of the peridynamic approach is strongly affected when a fine grid spacing is used. There have been many attempts, so far, to maintain the computational accuracy and reduce the cost by coupling peridynamics with local theories (Bobaru and Ha 2011;Seleson et al 2013;Shojaei et al 2016;Galvanetto et al 2016;Shojaei et al 2017;Zaccariotto et al 2017;Zaccariotto et al 2018), or by using parallel computing techniques (Lee et al 2017;Mossaiby et al 2017) and adaptive refinement algorithms (Dipasquale et al 2014;Gu et al 2017;Ren et al 2016;Shojaei et al 2018). Among the aforementioned techniques the FEM-PD coupling enhanced with adaptivity represents an efficient approach the use of which will be explored in future works.…”

Section: Introductionmentioning

confidence: 99%

Fatigue degradation strategies to simulate crack propagation using peridynamic based computational methods

Bazazzadeh

Zaccariotto

Galvanetto

2019

Lat. Am. j. solids struct.

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The aim of this paper is to develop new computational tools to study fatigue crack propagation in structural materials. In particular we compare the performance of different degradation strategies to study fatigue crack propagation phenomena adopting peridynamic based computational methods. Three fatigue degradation laws are proposed. Two of them are original. Initially a cylinder model is used to compare the computational performance of the three fatigue laws and to study their robustness with respect to variations of discretization parameters. Then the fatigue degradation strategies are implemented in a peridynamic framework for fatigue crack propagation analyses. Both cylinder model and peridynamic simulations show that the third proposed degradation law is unique in its combination of high accuracy, high stability and low computational cost.

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Section: Introductionmentioning

confidence: 99%

Fatigue degradation strategies to simulate crack propagation using peridynamic based computational methods

Bazazzadeh

Zaccariotto

Galvanetto

2019

Lat. Am. j. solids struct.

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“…In this approach, integral equations are employed rather than partial differential equations (PDEs) to determine the internal forces over the continuum. This approach has been widely applied to simulate many engineering problems with discontinuities (see for instance [38][39][40][41][42]). Moreover, peridynamic formulation has been developed for multiphysics problems such as thermal diffusion in [43][44][45].…”

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confidence: 99%

Simulation of chemo-thermo-mechanical problems in cement-based materials with Peridynamics

et al. 2021

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A chemo-thermo-mechanical problem is solved using a peridynamic approach to investigate crack propagation in non-reinforced concrete at early-age. In the present study, the temperature evolution and the variation of the hydration degree in conjunction with the mechanical behaviour of cement-based materials are examined. Firstly, a new peridynamic model is introduced to solve fully coupled chemo-thermal problems by satisfying thermal equilibrium condition and hydration law simultaneously and then the effects of the chemo-thermal analysis are imposed in the mechanical framework to investigate all the interactions. The proposed approach is used to solve 2D chemo-thermo-elastic problems and then it is applied to investigate the fracture of concrete structures. Additionally, we examine the accuracy of the method by comparing the crack paths, temperature and hydration degree with those achieved by applying other numerical methods and the experimental data available in the literature. A good agreement is obtained between all sets of results.

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