Application of meshless local integral equations for two-dimensional transient coupled hygrothermoelasticity analysis: Moisture and thermoelastic wave propagations under shock loading

Hosseini Seyed Mahmoud; Rad Mohammad Hossein Ghadiri

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Application of meshless local integral equations for two-dimensional transient coupled hygrothermoelasticity analysis: Moisture and thermoelastic wave propagations under shock loading

机译：无网格局部积分方程在二维瞬态耦合湿热弹塑性分析中的应用：冲击载荷下的水分和热弹性波传播

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摘要

This work develops the application of meshless local integral equations based on the meshless local Petrov-Galerkin (MLPG) method for two-dimensional (2D) coupled hygrothermoelasticity analysis. A unit Heaviside step function is used as the test function in the local weak forms. The analyzed domain is divided into some small subdomains with a circular shape. The radial basis functions are used for approximation of the spatial variation of field variables. For discretization of time variations, the Laplace transform technique is used. The moisture concentration diffuses through 2D domain with a finite speed similar to thermoelastic waves. The propagation of moisture diffusion, temperature, and elastic waves is obtained and discussed at various time instants. The MLPG method has a high capability to track the moisture diffusion, elastic and thermal wave fronts at every arbitrary time instant in 2D domain. The distribution profiles of moisture concentration, temperature, and displacements along two orthogonal directions are illustrated at various time instants.

机译：这项工作开发了基于无网格局部Petrov-Galerkin（MLPG）方法的无网格局部积分方程在二维（2D）耦合湿热弹性分析中的应用。单位Heaviside阶跃函数用作局部弱形式的测试函数。被分析的域被分成一些圆形的小子域。径向基函数用于近似场变量的空间变化。为了离散化时间变化，使用了拉普拉斯变换技术。水分浓度以类似于热弹性波的有限速度扩散通过2D域。水分扩散，温度和弹性波的传播是在各个时刻获得并讨论的。 MLPG方法具有在二维域中的每个任意时刻跟踪水分扩散，弹性波和热波前的能力。在不同的时刻示出了沿两个正交方向的水分浓度，温度和位移的分布曲线。

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来源
《Journal of thermal stresses》 |2017年第3期|40-54|共15页
作者
Hosseini Seyed Mahmoud; Rad Mohammad Hossein Ghadiri;
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作者单位

Ferdowsi Univ Mashhad, Dept Ind Engn, Fac Engn, POB 91775-111, Mashhad, Iran;

Quchan Univ Adv Technol, Dept Civil Engn, Quchan, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Coupled hygrothermoelasticity; local integral equations; meshless local Petrov-Galerkin method; moisture diffusion; radial basis functions; wave propagation;

机译：耦合热湿弹性;局部积分方程;无网格局部Petrov-Galerkin方法;水分扩散;径向基函数;波传播;热力学;

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1. A novel meshless local Petrov-Galerkin method for dynamic coupled thermoelasticity analysis under thermal and mechanical shock loading [J] . Bao-Jing Zheng, Xiao-Wei Gao, Kai Yang, Engineering analysis with boundary elements . 2015,第nova期

机译：一种新的无网格局部Petrov-Galerkin方法，用于热冲击和机械冲击载荷下的动态耦合热弹性分析
2. Application of meshless local integral equations to two dimensional analysis of coupled non-Fick diffusion-elasticity [J] . Seyed Mahmoud Hosseini, Jan Sladek, Vladimir Sladek Engineering analysis with boundary elements . 2013,第3期

机译：无网格局部积分方程在二维非Fick扩散弹性分析中的应用
3. Anisotropic transient thermoelasticity analysis in a two-dimensional decagonal quasicrystal using meshless local Petrov-Galerkin (MLPG) method [J] . Seyed Mahmoud Hosseini, Jan Sladek, Vladimir Sladek Applied Mathematical Modelling . 2019,第FEBa期

机译：二维十边形准晶体各向异性瞬态热弹性的无网格局部Petrov-Galerkin（MLPG）分析
4. A meshless local boundary integral equation method in thermoelasticity [C] . J. Sladek, V. Sladek International Conference on the Boundary Element Method . 2001

机译：热弹性局部局部边界积分方程方法
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机译：奇异积分方程的数值解及其在弹性波传播问题中的应用。
6. SOLUTION OF AN INTEGRAL EQUATION OCCURRING IN IMPULSIVE WAVE PROPAGATION PROBLEMS [O] . C. L. Pekeris 1956

机译：脉冲波传播问题中积分方程的求解
7. TIME LOCAL WELL-POSEDNESS OF THE COUPLED SYSTEM OF NONLINEAR WAVE EQUATIONS WITH DIFFERENT PROPAGATION SPEEDS (Harmonic Analysis and Nonlinear Partial Differential Equations) [O] . Tsugawa Kotaro 2001

机译：具有不同传播速度的非线性波动方程耦合系统的时间局部正定性（调和分析和非线性偏微分方程）
8. Integral Equation Approach to the Propagation of Low-Frequency Groundwaves over Irregular Terrains: II. Two-Dimensional Terrain Features and Elevated Receivers [R] . Field, E. C., Gayer, S., D'Ambrosio, B. 1981

机译：低频地波在不规则地形上传播的积分方程方法：II。二维地形特征和高架接收器

Application of meshless local integral equations for two-dimensional transient coupled hygrothermoelasticity analysis: Moisture and thermoelastic wave propagations under shock loading

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