书目名称 | Mathematical and Computational Analyses of Cracking Formation | 副标题 | Fracture Morphology | 编辑 | Yoichi Sumi | 视频video | | 概述 | The first book that focuses on the mathematical and numerical analyses of crack path prediction.Contributes to a better understanding of crack path stability and resulting cracking formation in brittl | 丛书名称 | Mathematics for Industry | 图书封面 |  | 描述 | .This book is about the pattern formation and the evolution of crack propagation in engineering materials and structures, bridging mathematical analyses of cracks based on singular integral equations, to computational simulation of engineering design. The first two parts of this book focus on elasticity and fracture and provide the basis for discussions on fracture morphology and its numerical simulation, which may lead to a simulation-based fracture control in engineering structures. Several design concepts are discussed for the prevention of fatigue and fracture in engineering structures, including safe-life design, fail-safe design, damage tolerant design..After starting with basic elasticity and fracture theories in parts one and two, this book focuses on the fracture morphology that develops due to the propagation of brittle cracks or fatigue cracks. .In part three, the mathematical analysis of a curved crack is precisely described, based on the perturbation method. The stability theory of interactive cracks propagating in brittle solids may help readers to understand the formation of a fractal-like cracking patterns in brittle solids, while the stability theory of crack paths | 出版日期 | Book 2014 | 关键词 | Brittle Crack Paths; Crack Path Prediction; Crack Propagation; Fracture Control of Engineering Structur | 版次 | 1 | doi | https://doi.org/10.1007/978-4-431-54935-2 | isbn_softcover | 978-4-431-56385-3 | isbn_ebook | 978-4-431-54935-2Series ISSN 2198-350X Series E-ISSN 2198-3518 | issn_series | 2198-350X | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Japan KK |
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