Mathematical Modelling in Solid Mechanics
暫譯: 固體力學中的數學建模
Dell'isola, Francesco, Sofonea, Mircea, Steigmann, David
- 出版商: Springer
- 出版日期: 2018-07-29
- 售價: $8,090
- 貴賓價: 9.5 折 $7,686
- 語言: 英文
- 頁數: 316
- 裝訂: Quality Paper - also called trade paper
- ISBN: 9811099618
- ISBN-13: 9789811099618
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商品描述
This book presents new research results in multidisciplinary fields of mathematical and numerical modelling in mechanics. The chapters treat the topics:
- mathematical modelling in solid, fluid and contact mechanics
- nonconvex variational analysis with emphasis to nonlinear solid and structural mechanics
- numerical modelling of problems with non-smooth constitutive laws, approximation of variational and hemivariational inequalities, numerical analysis of discrete schemes, numerical methods and the corresponding algorithms, applications to mechanical engineering
- numerical aspects of non-smooth mechanics, with emphasis on developing accurate and reliable computational tools
- mechanics of fibre-reinforced materials
- behaviour of elasto-plastic materials accounting for the microstructural defects
- definition of structural defects based on the differential geometry concepts or on the atomistic basis
- interaction between phase transformation and dislocations at nano-scale
- energetic arguments
- bifurcation and post-buckling analysis of elasto-plastic structures
- engineering optimization and design, global optimization and related algorithms
The book presents selected papers presented at ETAMM 2016. It includes new and original results written by internationally recognized specialists.
商品描述(中文翻譯)
本書介紹了在機械學的數學和數值建模多學科領域中的新研究成果。各章節涵蓋以下主題:
- 固體、流體和接觸力學中的數學建模
- 非凸變分分析,重點在於非線性固體和結構力學
- 具有非光滑本構定律的問題的數值建模,變分和半變分不等式的近似,離散方案的數值分析,數值方法及其相應的演算法,應用於機械工程
- 非光滑力學的數值方面,重點在於開發準確且可靠的計算工具
- 纖維增強材料的力學
- 考慮微觀結構缺陷的彈塑性材料行為
- 基於微分幾何概念或原子基礎的結構缺陷定義
- 相變與納米尺度位錯之間的相互作用
- 能量論證
- 彈塑性結構的分岔與後屈曲分析
- 工程優化與設計,全球優化及相關演算法
本書呈現了在ETAMM 2016會議上發表的選定論文。它包含了由國際知名專家撰寫的新穎且原創的研究成果。