Asymptotic and Probabilistic Approach to Buckling of Structures and Materials
Asymptotic and Probabilistic Approach to Buckling of Structures and Materials
复制标题
DOI：
10.1115/1.2939583
复制
发表时间：
2008-07
影响因子：
14.3
通讯作者：
K. Ikeda;K. Murota
中科院分区：
文献类型：
--
作者：
K. Ikeda;K. Murota
Koiter（1945，“On the Stability of Elastic Equilibrium，”Ph.D.论文，德尔夫特，荷兰）的动机发展了一系列的渐近方法来处理结构的初始后屈曲行为。这些方法在前计算机时代起着举足轻重的作用，但随着计算环境的进步，它们的作用有些黯然失色。近年来，渐近方法的重要性通过其理论背景的扩展以及与有限元方法框架和非线性数学中群论分歧理论的结合而重新得到重视。该方法作为一种有效的和有见地的战略，以解决关键负载的概率分散。我们回顾，从理论工程师的角度来看，历史的发展和最近的复兴的渐近方法的屈曲的阻尼敏感结构和材料。
The general theory of elastic stability invented by Koiter (1945, “On the Stability of Elastic Equilibrium ,” Ph.D. thesis, Delft, Holland) motivated the development of a series of asymptotic approaches to deal with the initial postbuckling behavior of structures. These approaches, which played a pivotal role in the precomputer age, are somewhat overshadowed by the progress of computational environment. Recently, the importance of the asymptotic approaches has been revived through the extension of their theoretical background and the combination with the framework of finite element method and with group-theoretic bifurcation theory in nonlinear mathematics. The approaches serve as an efficient and insightful strategy to tackle probabilistic scatter of critical loads. We review, through the perspective of theoretical engineers, the historical development and recent revival of the asymptotic approaches for buckling of imperfection-sensitive structures and materials.