Abstract
Modern technology shows increased demands on the strength properties of machines, their parts, as well as various structures, reducing their weight, volume and size, which leads to the need to use anisotropic composite materials. Finding criteria to determine the ultimate strength characteristics of structural elements, engineering structures is one of the urgent problems of solid mechanics. Strength problems in structures are often reduced to finding out the nature of the local stress state at the vertices of the joints of the constituent parts. The solution of this urgent problem for composite anisotropic plates can be found in this article, where the author continues the research in this area, extending them to the bending of anisotropic composite plates. The aim of the work is to study the limit stress state of anisotropic composite plates in the framework of the classical theory of plate bending. The outer edges of the plate are considered to be free. Using the classical theory of anisotropic plate bending in the space of physical and geometric parameters, the hypersurface equations determining the low-stress zones for the edge of the contact surface of a composite cylindrical orthotropic plate are obtained. Modern technological processes of welding, surfacing, soldering and bonding allow to produce structural elements of monolithic interconnected dissimilar anisotropic materials. The combination of different materials with qualities corresponding to certain operating conditions opens up great opportunities to improve the technical and economic characteristics of machines, equipment and structures. It can contribute to a significant increase in their reliability, durability, reduce the cost of production and operation. On this basis, the solution proposed in this work can be useful to increase the strength of composite materials.
Highlights
Modern technology shows increased demands on the strength properties of machines, their parts, as well as various structures, reducing their weight, volume and size, which leads to the need to use anisotropic composite materials
Strength problems in structures are often reduced to finding out the nature of the local stress state at the vertices of the joints of the constituent parts
The solution of this urgent problem for composite anisotropic plates can be found in this article, where the author continues the research in this area, extending them to the bending of anisotropic composite plates
Summary
Современная техника предъявляет повышенные требования к прочностным свойствам машин, их деталей, а также различных конструкций и сооружений, уменьшению их веса, объема и размеров, что приводит к необходимости использования анизотропных композитных материалов. Решению этой актуальной проблемы для составных анизотропных плит может служить данная статья, где автор продолжает исследования в этой области, распространив их на изгиб анизотропных составных плит со свободными краями. Целью работы является изучение предельного напряженного состояния анизотропных составных плит в рамках классической теории изгиба плит. Комбинирование различных материалов, обладающих качествами, соответствующими тем или иным условиям эксплуатации, открывает большие возможности для повышения технических и экономических характеристик машин, оборудования и сооружений. Решение, предлагаемое в данной работе, может быть полезным для повышения прочности композитных изделий. Г. Прочность при изгибе анизотропных составных плит со свободными краями // Известия Саратовского университета.
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