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本文首先讨论了统计理论在强度研究中,特别是在脆性破坏的研究中的作用,并且指出当前脆性破坏统计理论的一些最基本的假设。随后介绍了几个脆性破坏的模型:(1)串联的链条模型;(2)并联的线索模型;(3)分子运动模型,并对这些模型的建立和发展作了简单的叙述。 对于建筑在链条模型上的Weibull-理论作了具体的介绍,并且进行了若干实验验证,实验分为简单受力(拉、压、弯)及厚壁筒受均匀内压两部分,材料为普通石膏。第一部分实验指出有简单受力情况,理论与实验符合良好,误差在5%左右。第二部分实验则表明在复杂受力情况下,理论结果偏低较大(19%以上)。 最后讨论了当前脆性破坏理论存在的若干问题和提出了几点初步看法。
This paper first discusses the role of statistical theory in the study of strength, especially in the study of brittle failure, and points out some of the most basic assumptions of the current theory of brittle failure statistics. Subsequently, several brittle failure models are introduced: (1) chain models in series; (2) parallel clue models; (3) molecular motion models; and a brief description of the establishment and development of these models. The Weibull-theory of building chain model was introduced in detail and verified by several experiments. The experiment was divided into simple force (pulling, pressing, bending) and thick walled tube subjected to uniform internal pressure. The material was ordinary. plaster. The first part of the experiment pointed out that there is a simple stress situation, and the theory and experiment are in good agreement, and the error is about 5%. The second part of the experiment shows that under complex stress conditions, the theoretical results are lower (above 19%). Finally, several problems existed in the current brittle failure theory are discussed and several preliminary views are put forward.