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- Title
Solution of three-dimensional problems of elasticity theory using new formulas for harmonic polynomials.
- Authors
Onishchuk, O.; Popov, G.; Tolkachev, A.; Chumachenko, K.
- Abstract
Approximate solutions of three-dimensional problems of elasticity theory are sought in the form of linear combinations of vector functions each of which satisfies a differential equation. The linear-combination coefficients are found by energy minimization of the difference between exact and approximate solutions. This can be realized in the first and second basic problems. Simple recursion relations and differentiation formulas for similar harmonic polynomials are obtained. The above-mentioned vector functions are constructed using these formulas and the Trefftz representation. The problem of a truncated pyramid is considered.
- Publication
International Applied Mechanics, 1999, Vol 35, Issue 4, p330
- ISSN
1063-7095
- Publication type
Article
- DOI
10.1007/BF02682215