On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition

IF 5.7 1区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

International Journal of Engineering Science Pub Date : 2023-12-21 DOI:10.1016/j.ijengsci.2023.104010

J. Orlik, D. Neusius, K. Steiner, M. Krier

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引用次数: 0

Abstract

This paper presents an algorithm based on asymptotic methods for computing the effective ultimate and high cyclic fatigue strength of heterogeneous periodic plates, shells, and textiles. The rigorous analysis and convergence proof of this asymptotic method builds upon a series of our previous papers. The method allows to decompose the local stresses as products of periodic stress-concentrations, given as functions of unit cells or graphs/lattices in them, and the macroscopic strain components.

In addition, this paper establishes bounds for the applicability of the method and presents several examples to demonstrate the qualitative advantages of this approach, e.g. for the standard shear and compression tests for plates. The main objective of this paper is to substantially reduce the problem dimension and complexity, thereby enabling more efficient computations.

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基于多尺度应力分解的异质细长结构的极限强度

本文提出了一种基于渐近法的算法，用于计算异质周期板、壳和纺织品的有效极限强度和高循环疲劳强度。这种渐近方法的严格分析和收敛性证明建立在我们之前一系列论文的基础上。该方法可将局部应力分解为周期应力集中的乘积（作为其中单元格或图形/晶格的函数给出）和宏观应变分量。此外，本文还确定了该方法的适用范围，并列举了几个例子来证明该方法的定性优势，例如板材的标准剪切和压缩试验。本文的主要目的是大幅降低问题的维度和复杂性，从而提高计算效率。

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

International Journal of Engineering Science 工程技术-工程：综合

CiteScore

11.80

自引率

16.70%

发文量

审稿时长

45 days

期刊介绍： The International Journal of Engineering Science is not limited to a specific aspect of science and engineering but is instead devoted to a wide range of subfields in the engineering sciences. While it encourages a broad spectrum of contribution in the engineering sciences, its core interest lies in issues concerning material modeling and response. Articles of interdisciplinary nature are particularly welcome. The primary goal of the new editors is to maintain high quality of publications. There will be a commitment to expediting the time taken for the publication of the papers. The articles that are sent for reviews will have names of the authors deleted with a view towards enhancing the objectivity and fairness of the review process. Articles that are devoted to the purely mathematical aspects without a discussion of the physical implications of the results or the consideration of specific examples are discouraged. Articles concerning material science should not be limited merely to a description and recording of observations but should contain theoretical or quantitative discussion of the results.