경계요소법에 의한 선형 점탄성체의 해석

An Analysis of Viscoelastic Problems by Boundary Element Method

  • 이상순 (한국원자력연구소 계통기계분야) ;
  • 조덕상 (한국원자력연구소 계통기계분야) ;
  • 손용수 (한국원자력연구소 계통기계분야)
  • 발행 : 1994.06.01

초록

시간영역에서는 경계요소법을 이용하여 실제점탄성체에 대한 응력 및 변위 해석과정을 논의하였다. 기본해와 응력커널들은 탄성-점탄성 대응원리를 사용하여 구하였다. 이완함수는 지수함수들의 합으로 전개되고, 변형된 기본해와 응력커널들은 실제시간 공간으로 수치적인 방법에 의해 전환된다. 제안된 과정정은 수치해석을 수행하는데 큰 노력을 요하지 않으며, 실제점탄성체 해석에 응용될 수 있다. 예저의 결과들은 제시된 방법의 효율성과 응용 가능성을 보여준다.

The procedure for the stress and displacement analysis of realistic viscoelastic materials by time domain boundary element method(BEM) has been discussed. The fundamental solutions and stress kernels have been obtained using the elastic-viscoelastic correspondence principle. The relaxation function is expanded in a sum of exponentials and the transformed fundamental solutions and stress kernels are inverted numerically into real time space. The proposed procedure requires a small computational effort and it is applicable in time domain boundary element analysis of realistic viscoelastic problems. Numerical results of example problem show the effectiveness and applicability of the proposed method.

키워드

참고문헌

  1. SIAM J. AppI. Math. v.21 An Application of the Correspondence Principle of Linear Viscoelasticity Theory Rizzo,F.J.;Shippy,D.J.
  2. Topics in Boundary Element Research Vol.3:Computational Aspects v.3 New Integral Equation Approach to Viscoelastic Problems Tanaka,M.;Brebbia,C.A.(ed.)
  3. Boundary Element Ⅶ no.10 Application of Viscoelastic Combined Finite and Boundary Element Analysis to Geotechnical Engineering Shinokawa,T.;Kaneko,No.;Yoshida,N.;Kawahara,M.;Brebbia,C.A.(ed.)
  4. Computers & Structures v.29 Linear Viscoelastic Analysis in Time Domain by Boundary Element Method Sim,W.J.;Kwak,B.M.
  5. Boundary Element XV v.2 Application of Boundary Element Method to Viscoelastic Problems Lee,S.S.;Westmann,R.A.;Brebbia,C.A.(ed.);Rencis,J.J.(ed.)
  6. Theory of Viscoelasticity : An Introduction(2nd ed.) Christensen,R.M.
  7. Boundary Elements An Introductory Course Brebbia,C.A.;Dominguez,J.
  8. J. Applied Mechanics v.46 Residual Thermal Stresses Due to Cool-Down of Epoxy-Resin Composites Weitsman,Y.