Boundary Element and Sensitivity Analysis of Anisotropic Thermoelastic Metal and Alloy Discs with Holes

Abstract

The main aim of this paper was to develop an advanced processing method for analyzing of anisotropic thermoelastic metal and alloy discs with holes. In the boundary element method (BEM), the heat impact is expressed as an additional volume integral in the corresponding boundary integral equation. Any attempt to integrate it directly will necessitate domain discretization, which will eliminate the BEM’s most distinguishing feature of boundary discretization. This additional volume integral can be transformed into the boundary by using branch-cut redefinitions to avoid the use of additional line integrals. The numerical results obtained are presented graphically to show the effects of the transient and steady-state heat conduction on the quasi-static thermal stresses of isotropic, orthotropic, and anisotropic metal and alloy discs with holes. The validity of the proposed technique is examined for one-dimensional sensitivity, and excellent agreement with finite element method and experimental results is obtained.

Three-Dimensional Boundary Element Strategy for Stress Sensitivity of Fractional-Order Thermo-Elastoplastic Ultrasonic Wave Propagation Problems of Anisotropic Fiber-Reinforced Polymer Composite Material

“…The internal stress is given by [ 22 ] where represents the initial stress derived from the initial strain. Additionally, and in Equation (36) can be expressed as [ 1 , 11 ] …”

“…Iij (p) represents the initial stress derived from the initial strain. Additionally, S kij (p, q) and σ [1] ijks (p, q) in Equation ( 36) can be expressed as [1,11]…”

“…Ochiai [ 9 ] applied the triple-reciprocity BEM to solve 2D thermo-elastoplastic problems with an arbitrary distributed heat source [ 10 ] and three-dimensional elastoplastic problems with initial strain formulas [ 10 ]. Recently, Fahmy et al [ 11 , 12 , 13 , 14 ] developed fractional BEM schemes to solve certain thermoelastic problems.…”

Two-Temperature Semiconductor Model Photomechanical and Thermal Wave Responses with Moisture Diffusivity Process

“…When using two-temperature thermoelasticity with relaxation durations to study a variety of issues, Youssef and El-Bary [31] found that the outcomes are qualitatively distinct from those obtained when using one-temperature thermoelasticity. Fahmy et al [32][33][34][35][36] studied the boundary element modeling and fractional boundary element solution of ultrasonic wave propagation according to the magneto-thermoviscoelastic medium in the context of the nonlinear generalized photothermal.…”

Acoustic radiation performance investigation of a double-walled cylindrical shell equipped with annular plates and porous foam media

“…Besides, the BEM impose restrictions on the ability of handling the exterior acoustic problem in nonisotropic and nonhomogeneous media. In these cases, a novel singular boundary method (SBM) 25,26 was proposed to handle the acoustic problems while Fahmy et al [27][28][29][30][31][32][33][34][35] optimized the algorithm to reduce the computational complexity and computational time and to overcome some nonlinear problems. These methods contribute to solving singular or hypersingular integrals, but much of the research is focused on future-proofing the method and higher resolutions of elements is continually desired, particularly as this is necessary for modeling high frequency problems.…”