Generalized coupled transient thermoelastic plane problems by laplace transform/finite element method

Tei Chen Chen; Cheng I. Weng

doi:10.1115/1.3173686

Generalized coupled transient thermoelastic plane problems by laplace transform/finite element method

Tei Chen Chen, Cheng I. Weng

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

55 Citations (Scopus)

Abstract

A general finite-element model is proposed to deal with dynamic theromelastic problems especially with longer transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the Finite Element Method (FEM) and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time could be evaluated directly. A number of examples are presented which demonstrate the accuracy, efficiency, and versatility of the proposed method, and show the effects of relaxation times, inertia, and thermoelastic coupling terms.

Original language	English
Pages (from-to)	377-382
Number of pages	6
Journal	Journal of Applied Mechanics, Transactions ASME
Volume	55
Issue number	2
DOIs	https://doi.org/10.1115/1.3173686
Publication status	Published - 1988

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1115/1.3173686

Cite this

@article{87e6a51a9e76483683bc24b9d8002e72,

title = "Generalized coupled transient thermoelastic plane problems by laplace transform/finite element method",

abstract = "A general finite-element model is proposed to deal with dynamic theromelastic problems especially with longer transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the Finite Element Method (FEM) and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time could be evaluated directly. A number of examples are presented which demonstrate the accuracy, efficiency, and versatility of the proposed method, and show the effects of relaxation times, inertia, and thermoelastic coupling terms.",

author = "Chen, {Tei Chen} and Weng, {Cheng I.}",

year = "1988",

doi = "10.1115/1.3173686",

language = "English",

volume = "55",

pages = "377--382",

journal = "Journal of Applied Mechanics, Transactions ASME",

issn = "0021-8936",

publisher = "American Society of Mechanical Engineers(ASME)",

number = "2",

}

TY - JOUR

T1 - Generalized coupled transient thermoelastic plane problems by laplace transform/finite element method

AU - Chen, Tei Chen

AU - Weng, Cheng I.

PY - 1988

Y1 - 1988

N2 - A general finite-element model is proposed to deal with dynamic theromelastic problems especially with longer transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the Finite Element Method (FEM) and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time could be evaluated directly. A number of examples are presented which demonstrate the accuracy, efficiency, and versatility of the proposed method, and show the effects of relaxation times, inertia, and thermoelastic coupling terms.

AB - A general finite-element model is proposed to deal with dynamic theromelastic problems especially with longer transient period. The method consists of formulating and solving the problem in the Laplace transform domain by the Finite Element Method (FEM) and then numerically inverting the transformed solution to obtain the time-domain response. Therefore, the transient solutions at any time could be evaluated directly. A number of examples are presented which demonstrate the accuracy, efficiency, and versatility of the proposed method, and show the effects of relaxation times, inertia, and thermoelastic coupling terms.

UR - http://www.scopus.com/inward/record.url?scp=0024029285&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024029285&partnerID=8YFLogxK

U2 - 10.1115/1.3173686

DO - 10.1115/1.3173686

M3 - Article

AN - SCOPUS:0024029285

SN - 0021-8936

VL - 55

SP - 377

EP - 382

JO - Journal of Applied Mechanics, Transactions ASME

JF - Journal of Applied Mechanics, Transactions ASME

IS - 2

ER -

Generalized coupled transient thermoelastic plane problems by laplace transform/finite element method

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this