Contact between elastic bodies. I. Continuous problems

Contact between elastic bodies. I. Continuous problems
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弹性体之间的接触。

DOI:
10.21136/am.1980.103868
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发表时间:
1980
影响因子:
0.7
通讯作者:
I. Hlavácek
I. Hlavácek
中科院分区:
数学4区
文献类型:
--
作者:
J. Haslinger;I. Hlavácek

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在二维线性弹性静力学的范围内,考虑了有界物体之间无摩擦的单边接触问题。区分两类问题:有界接触区和扩大接触区。这两类都可以通过变分不等式用位移来表示。给出了解的存在性证明,并讨论了解的唯一性。
Problems of a unilateral contact between bounded bodies without friction are considered within the range of two-dimensional linear elastostatics. Two classes of problems are distinguished: those with a bounded contact zone and with an enlargign contact zone. Both classes can be formulated in terms of displacements by means of a variational inequality. The proofs of existence of a solution are presented and the uniqueness discussed.