Practical applications of unilateral models to Masonry Equilibrium

Practical applications of unilateral models to Masonry Equilibrium
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单边模型在砌体平衡中的实际应用

DOI:
10.1007/978-3-7091-1774-3_4
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发表时间:
2014
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通讯作者:
M. Angelillo
M. Angelillo
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作者:
M. Angelillo

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本章主要讨论单边模型在砌体结构应力分析中的应用。本文讨论和研究了砖石结构简化模型的二维应用。虽然砌体的单侧行为已经得到了广泛的认识,但一些偏见仍然存在于使无张力(NT)假设成为设计工程师实用模型的可能性上。结果表明,单侧砌体模型可以作为实际砌体结构建模的有效工具。在阐述中强调了关键点并提出了处理它们的策略,无论是对于最原始的模型(即刚性NT材料),还是对于更精确的法向弹性NT和类砌体(ML)材料。这里介绍的将无张力模型应用于结构的第一个工具是系统地使用奇异应力场和应变场。接下来讨论了NENT和ML材料的一些封闭形式解决方案。最后,提出了一种基于下降的数值方法来处理单边材料典型的零能模式。给出了一些数值解,并与解析解和试验结果进行了比较。这一章是献给Giovanni Castellano的,他从我早期开始就激励了我的大部分砖石工作。
This Chapter is devoted to the application of unilateral models to the stress analysis of masonry structures. Some 2d applications of what we call the simplified models for masonry, are discussed and studied. Though the essentially unilateral behaviour of masonry is largely recognized, some prejudices still persist on the possibility of making the No-Tension (NT) assumption a practical model for designing engineers. The results here presented demonstrate that the unilateral model for masonry can be a useful tool for modeling real masonry structures. In the exposition the critical points are emphasized and strategies to handle them are suggested, both for the most primitive model (namely the Rigid NT material), and for the more accurate Normal Elastic NT and Masonry-Like (ML)materials. The first tool here introduced for applying the No-Tension model to structures is the systematic use of singular stress and strain fields. Next a number of closed form solutions for NENT and ML materials is discussed. Finally a numerical approach based on descent is proposed for handling the zero-energy modes typical of unilateral materials. Some numerical solutions and comparisons with analytical solutions and test results are also presented.This Chapter is dedicated to Giovanni Castellano who inspired most of my work on masonry since my early steps.