Exact solutions for the linear hardening elastoplastic model in functionally graded spherical shell

IF 6.3 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES

Composite Structures Pub Date : 2025-04-17 DOI:10.1016/j.compstruct.2025.119208

Jun Xie , Xiaofan Gou , Pengpeng Shi

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引用次数: 0

Abstract

As functionally graded materials (FGMs) technology advances, there has been a growing emphasis on the mechanical analysis of FGMs structures. Exceeding the yield strength in FGMs structures often leads to irreversible plastic deformation in localized regions under applied loads. An analysis of the linear hardening elastoplastic model is necessary to assess accurately the load-carrying capacity of these structures. It is assumed that the elastic modulus of FGMs spherical shell varies with the thickness distribution of the structure according to a power function. This paper provides the exact solutions for the linear hardening elastoplastic model in the FGMs spherical shell under mechanical loads, including purely elastic, partially plastic, and fully plastic deformation states. The elastoplastic theory is employed to analyze the linear hardening elastoplastic model, and each deformation state is thoroughly analyzed. A significant contribution of this research is the presentation of comprehensive exact solutions for the linear hardening elastoplastic model in FGMs spherical shell, addressing all deformation regions. The findings demonstrate that the radial variation in material properties significantly influences the elastoplastic model analysis of the FGMs spherical shell. These conclusions are expected to aid in the design of FGMs spherical shells to mitigate yielding under high circumferential stress.

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功能梯度球壳线性硬化弹塑性模型的精确解

随着功能梯度材料（fgm）技术的进步，fgm结构的力学分析越来越受到重视。在载荷作用下，超过屈服强度的fgm结构往往会导致局部区域的不可逆塑性变形。为了准确评估这些结构的承载能力，有必要进行线硬化弹塑性模型分析。假设fgm球壳弹性模量随结构厚度分布呈幂函数变化。本文给出了fgm球壳在纯弹性、部分塑性和全塑性变形状态下的线硬化弹塑性模型的精确解。采用弹塑性理论对线硬化弹塑性模型进行了分析，对各种变形状态进行了深入的分析。本研究的一个重要贡献是提出了fgm球壳线性硬化弹塑性模型的全面精确解，涵盖了所有变形区域。研究结果表明，材料性能的径向变化对fgm球壳弹塑性模型分析有显著影响。这些结论有望帮助设计fgm球壳，以减轻高周向应力下的屈服。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Composite Structures 工程技术-材料科学：复合

CiteScore

12.00

自引率

12.70%

发文量

1246

审稿时长

78 days

期刊介绍： The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.