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首页> 外文期刊>Journal of Applied Mechanics and Technical Physics >QUASI-STATIC COMPRESSION AND SPREADING OF AN ASYMPTOTICALLY THIN NONLINEAR VISCOPLASTIC LAYER
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QUASI-STATIC COMPRESSION AND SPREADING OF AN ASYMPTOTICALLY THIN NONLINEAR VISCOPLASTIC LAYER

机译：渐近薄的非线性粘塑性层的准静态压缩与扩展

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摘要

The problem of quasi-static compression and spreading (squeezing) of a thin viscoplas-tic layer between approaching absolutely rigid parallel-arranged plates is solved using asymptotic integration methods rapidly developed in recent years in the mechanics of deformable thin bodies. A solution symmetric about the coordinate axes is sought in the same region of the layer as in the classical Prandtl problem. The layer material is characterized by a yield point and a hardening function relating the intensities of the stress and strain rate tensors. The conditions of no-flow and reaching certain values by tangential stresses are imposed on the plate surfaces. The coefficients at the terms of the asymptotic expansions corresponding to the minus first and zero powers of the small geometrical parameter are obtained. An approximate analytical solution in the case of power hardening and large Saint-Venant numbers is given. The physical meaning of the roughness coefficient characterizing the cohesion between the plates and viscoplastic material is discussed.
机译：使用近年来在可变形薄体力学中迅速发展的渐近积分方法，解决了在接近绝对刚性平行排列板之间的内粘薄壁层的准静态压缩和扩展（挤压）问题。在与经典Prandtl问题相同的层区域中，寻求关于坐标轴对称的解决方案。层材料的特征在于屈服点和硬化函数，该函数与应力和应变率张量的强度有关。不流动的条件和通过切向应力达到一定值的条件被施加到板表面上。获得与小几何参数的负第一幂和零次幂相对应的渐近展开项的系数。给出了功率硬化和较大的Saint-Venant数情况下的近似解析解。讨论了表征板与粘塑性材料之间内聚力的粗糙度系数的物理含义。

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