Radial integration BEM for dynamic coupled thermoelastic analysis under thermal shock loading

Gao, Xiao‐Wei; Zheng, Bocong; Yang, Kai; Zhang, Ch.

doi:10.1016/j.compstruc.2015.06.006

Cited by 37 publications

(6 citation statements)

References 32 publications

(42 reference statements)

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“…In recent years, Gao [15] combined the radial integral method (RIM) with the boundary-element method (BEM) and proposed the radial integral boundary element method (RIBEM), which can convert the domain integrals of any 2D and 3D problems into boundary integrals without the help of any special solutions and differential operators. It is a kind of pure boundary element algorithm without an internal mesh, and it solves the 2D and 3D coupled thermoelastic dynamics problems with thermal shock loading with the RIBEM [16]. So far, the RIBEM has been widely used in the engineering field [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

A Fast Reduced-Order Model for Radial Integration Boundary Element Method Based on Proper Orthogonal Decomposition in the Non-Uniform Coupled Thermoelastic Problems

Tang,

Hu,

2023

Mathematics

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To efficiently address the challenge of thermoelastic coupling in functionally graded materials, we propose an approach that combines the radial integral boundary element method (RIBEM) with proper orthogonal decomposition (POD). This integration establishes a swift reduced-order model to transform the high-dimensional system of equations into a more manageable, low-dimensional counterpart. The implementation of this reduced-order model offers the potential for rapid numerical simulations of functionally graded materials (FGMs) under thermal shock loading. Initially, the RIBEM is utilized to resolve the thermal coupling issue within the FGMs. From these solutions, a snapshot matrix is constructed, capturing the solved temperature and displacement fields. Subsequently, the POD modes are established and a POD reduced-order model is constructed for the boundary element format of the thermally coupled problem. Finally, a system of low-order discrete differential equations is solved. Numerical experiments demonstrate that the results obtained from the reduced-order model closely align with those of the full-order model, even when considering variations in structural parameters or impact loads. Thus, the introduction of the reduced-order model not only guarantees solution accuracy but also significantly enhances computational efficiency.

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Section: Introductionmentioning

confidence: 99%

A Fast Reduced-Order Model for Radial Integration Boundary Element Method Based on Proper Orthogonal Decomposition in the Non-Uniform Coupled Thermoelastic Problems

Tang,

Hu,

2023

Mathematics

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“…Because numerical methods are of great practical importance in the field of coupled thermomechanics, many reference solutions using different approaches can be found from traditional methods used in commercial codes, to contemporary methods including a large spectrum of meshless approaches (Gao et al , 2015; Hosseini-Tehrani and Eslami, 2000; Sladek et al , 2009, 2006).…”

Section: Introductionmentioning

confidence: 99%

Application of the RBF collocation method to transient coupled thermoelasticity

Mavrič

Šarler

2017

HFF

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Purpose In this study, the authors aim to upgrade their previous developments of the local radial basis function collocation method (LRBFCM) for heat transfer, fluid flow, electromagnetic problems and linear thermoelasticity to dynamic-coupled thermoelasticity problems. Design/methodology/approach The authors solve a thermoelastic benchmark by considering a linear thermoelastic plate under thermal and pressure shock. Spatial discretization is performed by a local collocation with multi-quadrics augmented by monomials. The implicit Euler formula is used to perform the time stepping. The system of equations obtained from the formula is solved using a Newton–Raphson algorithm with GMRES to iteratively obtain the solution. The LRBFCM solution is compared with the reference finite-element method (FEM) solution and, in one case, with a solution obtained using the meshless local Petrov–Galerkin method. Findings The performance of the LRBFCM is found to be comparable to the FEM, with some differences near the tip of the shock front. The LRBFCM appears to converge to the mesh-converged solution more smoothly than the FEM. Also, the LRBFCM seems to perform better than the MLPG in the studied case. Research limitations/implications The performance of the LRBFCM near the tip of the shock front appears to be suboptimal because it does not capture the shock front as well as the FEM. With the exception of a solution obtained using the meshless local Petrov–Galerkin method, there is no other high-quality reference solution for the considered problem in the literature yet. In most cases, therefore, the authors are able to compare only two mesh-converged solutions obtained by the authors using two different discretization methods. The shock-capturing capabilities of the method should be studied in more detail. Originality/value For the first time, the LRBFCM has been applied to problems of coupled thermoelasticity.

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“…Via incorporating fracture mechanics, many numerical simulations focus on evaluating the thermal stress intensity factors of originally existing fractures, which is essential for predicting the thermal induced fracture propagation. During these numerical investigations, the continuum-based numerical methods, i.e., the finite element method (FEM) [8], the extended finite element method (XFEM) [9], the meshless methods (MMs) [10] and the boundary element methods (BEMs) [11], are generally adopted. However, due to the limited capacities of the continuum-based numerical methods in simulating complex discontinuous geometries as well as the fracture mechanics on treating complex fracture patterns, only simple macroscale thermal fracture problems are studied in these numerical simulations.…”

Section: Basic Formulasmentioning

confidence: 99%

Geothermal-Related Thermo-Elastic Fracture Analysis by Numerical Manifold Method

Liu

et al. 2018

Energies

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One significant factor influencing geothermal energy exploitation is the variation of the mechanical properties of rock in high temperature environments. Since rock is typically a heterogeneous granular material, thermal fracturing frequently occurs in the rock when the ambient temperature changes, which can greatly influence the geothermal energy exploitation. A numerical method based on the numerical manifold method (NMM) is developed in this study to simulate the thermo-elastic fracturing of rocklike granular materials. The Voronoi tessellation is incorporated into the pre-processor of NMM to represent the grain structure. A contact-based heat transfer model is developed to reflect heat interaction among grains. Based on the model, the transient thermal conduction algorithm for granular materials is established. To simulate the cohesion effects among grains and the fracturing process between grains, a damage-based contact fracture model is developed to improve the contact algorithm of NMM. In the developed numerical method, the heat interaction among grains as well as the heat transfer inside each solid grain are both simulated. Additionally, as damage evolution and fracturing at grain interfaces are also considered, the developed numerical method is applicable to simulate the geothermal-related thermal fracturing process.

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Radial integration BEM for dynamic coupled thermoelastic analysis under thermal shock loading

Cited by 37 publications

References 32 publications

A Fast Reduced-Order Model for Radial Integration Boundary Element Method Based on Proper Orthogonal Decomposition in the Non-Uniform Coupled Thermoelastic Problems

A Fast Reduced-Order Model for Radial Integration Boundary Element Method Based on Proper Orthogonal Decomposition in the Non-Uniform Coupled Thermoelastic Problems

Application of the RBF collocation method to transient coupled thermoelasticity

Geothermal-Related Thermo-Elastic Fracture Analysis by Numerical Manifold Method

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