Three-dimensional thermo-elastoplastic analysis by triple-reciprocity boundary element method

Ochiai, Yoshihiro

doi:10.1016/j.enganabound.2010.08.018

Cited by 15 publications

(4 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In 3D problems, the polyharmonic function with the volume distribution

is introduced to achieve smooth interpolation and can be described as [ 17 ]

where

denotes the distance between observation point

and loading point

.…”

Section: Bem Implementation For the Temperature Fieldmentioning

confidence: 99%

See 1 more Smart Citation

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

Fahmy

2022

Polymers

View full text Add to dashboard Cite

A new three-dimensional (3D) boundary element method (BEM) strategy was developed to solve fractional-order thermo-elastoplastic ultrasonic wave propagation problems based on the meshless moving least squares (MLS) method. The temperature problem domain was divided into a number of circular sub-domains. Each node was the center of the circular sub-domain surrounding it. The Laplace transform method was used to solve the temperature problem. A unit test function was used in the local weak-form formulation to generate the local boundary integral equations, and the inverse Laplace transformation method was used to find the transient temperature solutions. Then, the three-dimensional elastoplastic problems could be solved using the boundary element method (BEM). Initial stress and strain formulations are adopted, and their distributions are interpolated using boundary integral equations. The effects of the fractional-order parameter and anisotropy are investigated. The proposed method’s validity and performance are demonstrated for a two-dimensional problem with excellent agreement with other experimental and numerical results.

show abstract

“…In 3D problems, the polyharmonic function with the volume distribution

is introduced to achieve smooth interpolation and can be described as [ 17 ]

where

denotes the distance between observation point

and loading point

.…”

Section: Bem Implementation For the Temperature Fieldmentioning

confidence: 99%

“…In 3D problems, the polyharmonic function with the volume distribution T [ f ]A (p, q) is introduced to achieve smooth interpolation and can be described as [17] T…”

Section: Bem Implementation For the Temperature Fieldmentioning

confidence: 99%

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

Fahmy

2022

Polymers

View full text Add to dashboard Cite

show abstract

“…Boundary element method (BEM) [1] is a very promising approach for solving various engineering problems, such as heat transfer problems [2][3][4][5] in energy science and engineering, in which accurate evaluation of boundary integrals [6][7][8][9][10] is required. Weak, strong, or hypersingularities are involved in these boundary integrals, if the source point is located on the element under integration [11].…”

Section: Introductionmentioning

confidence: 99%

High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM

Cui

Feng

Gao

et al. 2016

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Boundary element method (BEM) is a very promising approach for solving various engineering problems, in which accurate evaluation of boundary integrals is required. In the present work, the direct method for evaluating singular curved boundary integrals is developed by considering the third-order derivatives in the projection plane method when expanding the geometry quantities at the field point as Taylor series. New analytical formulas are derived for geometry quantities defined on the curved line/plane, and unified expressions are obtained for both two-dimensional and three-dimensional problems. For the two-dimensional boundary integrals, analytical expressions for the third-order derivatives are derived and are employed to verify the complex-variable-differentiation method (CVDM) which is used to evaluate the high order derivatives for three-dimensional problems. A few numerical examples are given to show the effectiveness and the accuracy of the present method.

show abstract

“…A numerical method that is much less employed for this class of problems is the boundary element method (BEM). Nevertheless, the number of publications on this topic is quite extensive and new ones are still emerging [Deng et al 2011;Gao and Davies 2000;Ochiai 2011]. We can also distinguish a coupling of these two approaches in, e.g., [Boumaiza and Aour 2014;Dong and Bonnet 1998;Oysu and Fenner 2006].…”

Section: Introductionmentioning

confidence: 99%

Untitled

2016

J. Mech. Mater. Struct.

View full text Add to dashboard Cite

Trends in Continuum Physics (acronym TRECOP) is the name of the scientific branch that concerns and focuses itself around many physical problems which can be described by continuum models. Special emphasis is placed on the representation of various concepts applied to different physical fields interacting with each other. Special stress is put on the mechanical side of the investigations made within TRECOP.The scope of the TRECOP includes fundamentals of continuum physics, new trends in thermodynamics and in electrodynamics, physics of materials (encompassing defective crystals, ferroic crystals, liquid crystals, molecular crystals, high-temperature superconductors, semiconductors, plasma, polymers, amorphous media, smart materials, and anomalous material phenomena (such as auxetics, negative thermal expansion and other negative ones in materials)), biophysics, biomedical mechanics, multiphase systems, and multiscale also nanoscale problems. These fields have been developing fast in recent years. So TRECOP as itself can be treated as an young branch of research.The Trends in Continuum Physics as the scientific branch was born and then was developed by international symposia which had the same name. The idea to organize those meetings comes from three persons:

show abstract

Three-dimensional thermo-elastoplastic analysis by triple-reciprocity boundary element method

Cited by 15 publications

References 20 publications

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

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

High Order Projection Plane Method for Evaluation of Supersingular Curved Boundary Integrals in BEM

Untitled

Contact Info

Product

Resources

About