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A BEAM IN ADHESIVE CONTACT

机译:粘合剂接触中的光束

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摘要

A quasistatic process of contact with adhesion between an elastic beam and a foundation is considered. The contact is modeled with the Sig-norini condition when the foundation is rigid, and with normal compliance when it is deformable. The adhesion is modeled by introducing the bonding function β, the evolution of which is described by an ordinary differential equation. The existence and uniqueness of the weak solution for each of the problems is established. A fully-discrete scheme for numerical solutions of the problem with normal compliance is described.
机译:考虑了弹性梁与基础之间的粘附力的准静态过程。如果基础是刚性的,则采用Sig-norini条件建模接触;如果基础是可变形的,则采用常规柔度建模。通过引入键合函数β来对附着力进行建模,键合函数的发展由一个常微分方程描述。确定了每个问题的弱解的存在性和唯一性。描述了一个完全离散的方案,用于数值求解具有正常顺应性的问题。

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