Modelling of the non-axisymmetric bulging of elastoplastic shells of revolution under combined axisymmetric loadings

Q3 Mathematics

Pmm Journal of Applied Mathematics and Mechanics Pub Date : 2017-01-01 DOI:10.1016/j.jappmathmech.2018.03.010

A.A. Artem’eva, V.G. Bazhenov, E.V. Nagornykh, D.A. Kazakov, T.V. Kuzmicheva

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引用次数: 3

Abstract

A method for the numerical investigation of the non-linear unsteady non-axisymmetric bulging of elastoplastic shells of revolution under complex combined axisymmetric loadings and large subcritical strains is presented. The method enables the limit states and stability of the deformation processes of shells of revolution relative to axisymmetric and non-axisymmetric forms to be evaluated over a broad range of loading rates from quasistatic to dynamic. Its efficiency is substantiated by theoretical calculations and an experimental analysis of the stability of elastoplastic deformation processes of tubular metal samples during combined loadings by tension, internal pressure and torsion. The investigations performed show that preliminary loading alters the initial geometry of the shell and produces deformation anisotropy with great strengthening of the material in the direction of the principal axis of deformation. Torsion of an unloaded shell results in complex loading, which is especially apparent in the initial instant of application of the load and does not have an appreciable influence on the critical parameters of the non-axisymmetric loss of stability. ©2017

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轴对称复合载荷作用下转弹塑性弹壳非轴对称胀形的建模

提出了一种复杂轴对称复合载荷和大亚临界应变作用下旋转弹塑性壳非线性非定常胀形的数值研究方法。该方法能够在从准静态到动态的广泛加载速率范围内评估相对于轴对称和非轴对称形式的旋转壳的极限状态和变形过程的稳定性。对管状金属试样在拉、内压和扭转复合载荷作用下弹塑性变形过程的稳定性进行了理论计算和实验分析，证明了该方法的有效性。研究表明，初始加载改变了壳体的初始几何形状，并产生了变形的各向异性，材料在变形主轴方向上得到了极大的强化。空载壳的扭转导致了复杂的载荷，这在荷载施加的初始时刻尤为明显，对非轴对称失稳的关键参数没有明显的影响。©2017

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来源期刊

Pmm Journal of Applied Mathematics and Mechanics 物理-力学

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is a cover to cover translation of the Russian journal Prikladnaya Matematika i Mekhanika, published by the Russian Academy of Sciences and reflecting all the major achievements of the Russian School of Mechanics.The journal is concerned with high-level mathematical investigations of modern physical and mechanical problems and reports current progress in this field. Special emphasis is placed on aeronautics and space science and such subjects as continuum mechanics, theory of elasticity, and mathematics of space flight guidance and control.