动态弹塑性公式中四层复合增强体的平面应变状态

Vladislav Bogdanov
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引用次数: 0

摘要

复合、增强或武装材料的设计是现代生产和生活水平的要求。在以前的作品中(波格丹诺夫,2022;Bogdanov, 2022;Bogdanov, 2022;Bogdanov, 2022),研究了弹丸式撞击器与由上部薄层钢和下部主层玻璃组成的复合增强双层底座上表面非平稳相互作用的平面问题。研究由多层复合基相互叠加并刚性结合而成的复合材料的性能是一个很有意义的问题。在这项工作中,我们研究了一种四层复合材料与两层薄钢层增强的冲击器的非稳态相互作用。四层基是由两个相同的两层基刚性连接而成的。这种四层材料沿着它的下表面与一个绝对坚硬的半空间紧密相连。这种材料的主要层由玻璃组成。玻璃在复合材料中的应用前景很好,因为玻璃是一种耐用、廉价、广泛使用的材料,不会腐蚀,而且它的强度特性不会像其他材料(尤其是金属)那样因老化和蠕变而降低。玻璃层之间的硬接触克服了玻璃脆性的问题。在这种情况下,玻璃和钢表面的微裂纹顶部和微孔是固定的,不会扩展到层中。一个绝对固体的冲击器从中心上方作用于一个小的初始接触区域。研究了四层复合材料增强梁的平面应变状态问题。采用一种动态弹塑性数学公式求解动态接触问题的方法。为了考虑变形过程的物理非线性,采用了逐次逼近的方法,使得非线性问题可以简化为线性问题序列的解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Plane Strain State of Four-Layers Composite Reinforced Body in Dynamic Elastic-Plastic Formulation Authors: Vladislav Bogdanov
The design of composite and reinforced or armed materials is a requirement of the modern level of production and life. In previous works (Bogdanov, 2022; Bogdanov, 2022; Bogdanov, 2022; Bogdanov, 2022), the plane problems of non-stationary interaction of a bullet-type impactor with the upper surface of a composite reinforced two-layers base, which consists of an upper thin layer of steel and a lower main layer of glass, was investigated. It is of interest to study the question of how a composite material composed of several two-layers composite bases laid on top of each other and rigidly bonded to each other will behave. In this work, we study the non-stationary interaction of a striker and a four-layers composite material reinforced with two thin steel layers. The four-layers base is obtained from two identical two-layers bases rigidly linked to each other. Such a four-layer material along its lower surface is rigidly linked to an absolutely hard half-space. The main layers of the material consist of glass. The use of glass in composites is promising due to the fact that glass is a durable, cheap, widespread material that does not corrode, and its strength properties do not degrade as a result of aging, creep like other materials, especially metals. The problem of glass brittleness is overcome by hard contact between the layers. In this case, the tops of micro cracks, micro pores on the surfaces of glass and steel are immobilized and do not propagate into the layers. An absolutely solid impactor acts from above in the centre on a small area of initial contact. The problem of a plane strain state of a beam made from the composite reinforced four layers material is being solved. A technique for solving dynamic contact problems in a dynamic elastic-plastic mathematical formulation is used. To consider the physical nonlinearity of the deformation process, the method of successive approximations is used, which makes it possible to reduce the nonlinear problem to a solution of the sequences of linear problems.
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