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在平面冲击和薄结合的不可压缩层之间启动脱凝

Ivan I Argatov¹, Gennady S Mishuris², Valentin L Popov³

¹College of Aerospace Engineering, Chongqing University, Chongqing, China; Institut für Mechanik, Technische Universität Berlin, Berlin, Germany.

Mathematics and mechanics of solids : MMS

|September 30, 2024

概括

这项研究检查了弹性层上的刚性物体的粘合接触力学,将脱凝启动作为变异不等式. 调查结果显示,接触脱落的潜在不稳定性,即使对于简单的几何形状.

科学领域:

固体力学固体力学是什么
粘附科学粘附科学粘附科学
材料科学材料科学材料科学

背景情况:

研究JKR类型的固体和与固底部结合的薄不可压缩的弹性层之间的粘合接触.
采用一个前沿顺序的非对称模型,呈现一个过度确定的边界值问题.

研究的目的:

在非对称模型中制定脱凝的启动问题.
分析接触区及其边界在脱离过程中的行为.
探索接触力学问题的可解决性.

主要方法:

对于Poisson方程,Dirichlet问题中使用诺曼运算子的第一阶扰动.
制定了脱凝的启动问题作为一个变异不平等.
考虑一个接触区域和边界轮未知的非对称模型.

主要成果:

脱凝聚力启动问题成功地用变异不平等来表述.
非对称模型的框架允许未知的接触区和边界演变.
一个例子证明了可解决性定理的缺失,突出了不稳定性.

结论:

变异不等式公式为研究脱凝的研究提供了一个框架.
该模型的假设导致了保证偿付能力的挑战.
接触分离的不稳定性是关键结果,即使在轴对称的情况下也是如此.

关键词:

粘合剂接触方式粘合剂接触方式这是一个JKR型模型.圆性冲击是一种圆性冲击.不可以压缩的层层.干扰是一种干扰.

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