Degenerate scales and boundary element analysis of two dimensional potential and elasticity problems

Computers and Structures

Volumn 60, Issue 1, 1996, Pages 155-158

  He, Wen Jun ^a   Ding, Hao Jiang ^a   Hu, Hai Chang ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; GEOMETRY; INTEGRAL EQUATIONS; PROBLEM SOLVING;

BOUNDARY INTEGRAL EQUATIONS; DEGENERATE SCALES; NON EQUIVALENCE; PLANE PLASTICITY PROBLEMS; TWO DIMENSIONAL POTENTIAL PROBLEM;

BOUNDARY ELEMENT METHOD;

EID: 0030567735     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00343-6     Document Type: Article

References (15)

1. O. D. Kellogg, Foundation of Potential Theory. Springer, Berlin (1929).
2. S. G. Mikhlin, Integral Equations and Their Applications, 2nd rev. Edn. Pergamon Press, Oxford (1964).
3. N. I. Muskhelishvili, Single Integral Equations. Wolters-Noordhoff, Groningen (1972).
4. M. A. Jaswon, Integral equation methods in potential theory I. Proc. R. Soc., Ser. A 275, 23 (1963).
5. R. J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics. Q. J. appl. Math. 25, 83-95 (1967).
6. T. A. Cruse, Numerical solutions in three-dimensional elastostatics. Int. J. Solids Struct. 5, 1259-1274 (1969).
7. C. A. Brebbia and R. Nagamura, Boundary elements in stress analysis. ASCE J. Engng Mech. 105, 55-69 (1979).
8. S. Christiansen, Integral equations without a unique solution can be made useful for solving plane harmonic problems. J. Inst. Maths. Applic. 16, 143 (1975).
9. W. J. He, H. J. Ding and H. C. Hu, Numerical comparison of two BEMs for plane harmonic functions. Acta Sin. Mech. 9, 312-319 (1993).
10. W. J. He, H. J. Ding and H. C. Hu, Investigation of two boundary element analysis of mixed boundary value problems for plane harmonic functions. Int. J. numer. Engng (submitted).
11. H. C. Hu, The necessary and sufficient integral equations for plane harmonic functions. Sci. China 35, 861-869 (1992).
12. J. C. F. Telles and F. A. De Paula, Boundary elements with equilibrium satisfaction - a consistent formulation for potential and elastostatic problems. Int. J. numer. Meth. Engng 32, 609-621 (1991).
13. G. Polya and G. Szego, Isoperimetric Inequalities in Mathematical Physics. Princeton University Press, Princeton (1951).
14. E. Hille, Analytic Functions, Vol. 2. Ginn and Company, New York (1962).
15. W. J. He, H. J. Ding and H. C. Hu, Non-equivalence of the conventional boundary integral formulation and its elimination for plane elasticity problems. Comput. Struct. (to be published).