Thermal shock response via weakly coupled peridynamic thermo-mechanics

D’Antuono, Pietro; Morandini, Marco

doi:10.1016/j.ijsolstr.2017.09.010

Cited by 50 publications

(9 citation statements)

References 43 publications

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“…where K, I, J is an ordered triplet, and the order of value is (5, 1, 2), (6, 2, 3), (7,3,4), (8,4,1).…”

Section: Conflicts Of Interestmentioning

confidence: 99%

“…Thus, PD theory is spontaneously applied to analyze and solve discontinuity problems, such as crack propagation. In recent years, PD theory has been rapidly developed and applied to fracture or damage analysis of solid structures, such as the fracture problems of isotropic and anisotropic materials [3][4][5], the problems of plasticity [6][7][8], the crack branch [9][10][11] and impact [12] of brittle materials, composite materials [13][14][15], crack bending problem [16], and nonlinear analysis [17,18]. However, the calculation efficiency of PD models is usually lower than that of other traditional numerical methods, such as the finite element method (FEM), especially for complex structures.…”

Section: Introductionmentioning

confidence: 99%

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Peridynamic Shell Model Based on Micro-Beam Bond

Zheng¹,

Yan²,

Xia³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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Peridynamics (PD) is a non-local mechanics theory that overcomes the limitations of classical continuum mechanics (CCM) in predicting the initiation and propagation of cracks. However, the calculation efficiency of PD models is generally lower than that of the traditional finite element method (FEM). Structural idealization can greatly improve the calculation efficiency of PD models for complex structures. This study presents a PD shell model based on the micro-beam bond via the homogenization assumption. First, the deformations of each endpoint of the micro-beam bond are calculated through the interpolation method. Second, the micro-potential energy of the axial, torsional, and bending deformations of the bond can be established from the deformations of endpoints. Finally, the micro moduli of the shell model can be obtained via the equivalence principle of strain energy density (SED). In addition, a new fracture criterion based on the SED of the micro-beam bond is adopted for crack simulation. Numerical examples of crack propagation are provided, and the results demonstrate the effectiveness of the proposed PD shell model.

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“…where K, I, J is an ordered triplet, and the order of value is (5, 1, 2), (6, 2, 3), (7,3,4), (8,4,1).…”

Section: Conflicts Of Interestmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Peridynamic Shell Model Based on Micro-Beam Bond

Zheng¹,

Yan²,

Xia³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

View full text Add to dashboard Cite

show abstract

“…These have been used to develop coupled models that take into account various physical factors and that cannot be solved by other numerical methods, e.g. [14][15][16][17]. Specifically, bond-based PD formulations for heat transfer with phase change have been proposed recently: for modelling of soils [7] and for welding simulations [18].…”

Section: Introductionmentioning

confidence: 99%

Non-Local Formulation of Heat Transfer with Phase Change in Domains with Spherical and Axial Symmetries

Nikolaev

Jivkov²,

Margetts³

et al. 2023

J Peridyn Nonlocal Model

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Describing heat transfer in domains with strong non-linearities and discontinuities, e.g. propagating fronts between different phases, or growing cracks, is a challenge for classical approaches, where conservation laws are formulated as partial differential equations subsequently solved by discretisation methods such as the finite element method (FEM). An alternative approach for such problems is based on the non-local formulation; a prominent example is peridynamics (PD). Its numerical implementation however demands substantial computational resources for problems of practical interest. In many engineering situations, the problems of interest may be considered with either axial or spherical symmetry. Specialising the non-local description to such situations would decrease the number of PD particles by several orders of magnitude with proportional decrease of the computational time, allowing for analyses of larger domains or with higher resolution as required. This work addresses the need for specialisation by developing bond-based peridynamic formulations for physical problems with axial and spherical symmetries. The development is focused on the problem of heat transfer with phase change. The accuracy of the new non-local description is verified by comparing the computational results for several test problems with analytical solutions where available, or with numerical solutions by the finite element method.

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“…Bouhala et al investigated the thermal and thermo‐mechanical influences on crack propagation using an extended meshfree method. D'Antuono and Morandini proposed a weakly coupled peridynamic formulation that can effectively simulate the occurrence and propagation of cracks due to extreme thermal loading. Wang et al proposed a thermo‐mechanical coupling model based on the pre‐dynamics method to simulate thermal cracking.…”

Section: Introductionmentioning

confidence: 99%

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

Yan

Jiao

Zheng

2019

Num Anal Meth Geomechanics

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Summary A simple three‐dimensional heat transfer model is developed to consider the hindering effect of cracks on heat transfer. The 3D heat transfer model can also be applied to numerical methods such as the combined finite‐discrete element method (FDEM), discrete element method (DEM), discontinuous deformation analysis (DDA), the numerical manifold method (NMM), and the finite element method (FEM) to construct thermo‐mechanical coupling models that allow these methods to solve thermal cracking problems and dynamically consider the hindering effect of cracks on heat transfer. In the 3D heat transfer model, the continuous‐discontinuous medium is discretized into independent tetrahedral elements, and joint elements are inserted between adjacent tetrahedral elements. Heat transfer calculations for continuous‐discontinuous media are converted to heat conduction in tetrahedral elements and the heat exchange between the adjacent tetrahedral elements through the joint element. If the joint element between adjacent tetrahedral elements breaks (ie, a crack generates), the heat exchange coefficient of the joint element is reduced to account for the hindering effect of cracks on heat conduction. Then the model and the FDEM are combined to build a thermo‐mechanical coupling model to simulate thermal cracking. The thermally induced deformation, stress, and cracking are investigated by the thermo‐mechanical coupling model, and the numerical results are compared with analytical solutions or experimental results. The 3D heat transfer model and thermo‐mechanical model can provide a powerful tool for simulating heat transfer and thermal cracking in a continuous‐discontinuous medium.

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Thermal shock response via weakly coupled peridynamic thermo-mechanics

Cited by 50 publications

References 43 publications

Peridynamic Shell Model Based on Micro-Beam Bond

Peridynamic Shell Model Based on Micro-Beam Bond

Non-Local Formulation of Heat Transfer with Phase Change in Domains with Spherical and Axial Symmetries

A three‐dimensional heat transfer and thermal cracking model considering the effect of cracks on heat transfer

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