Plane elastostatic boundary value problems (II). The role of inversion
作者:
V. T. Buchwald,
期刊:
Mathematika
(WILEY Available online 1963)
卷期:
Volume 10,
issue 1
页码: 29-34
ISSN:0025-5793
年代: 1963
DOI:10.1112/S0025579300003338
出版商: London Mathematical Society
数据来源: WILEY
摘要:
SummaryIt is shown that in a certain sense, inversion transforms biharmonic functions into biharmonic functions. The first boundary value problem of elastostatics is also largely unchanged by this transformation, and known solutions can be used to obtain new results for inverse regions. As an example, the problem of a stress free dumb‐bell shaped hole in an infinite plate is solved.
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