A meshfree method for bending and failure in non-ordinary peridynamic shells

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• 作者：James O’Grady ; John Foster
• 刊名：Computational Mechanics
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：57
• 期：6
• 页码：921-929
• 全文大小：1,203 KB
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Numerical and Computational Methods in Engineering
  Computational Science and Engineering
  Mechanics, Fluids and Thermodynamics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0924
• 卷排序：57

文摘

The peridynamic theory of solid mechanics offers an integral based alternative to traditional continuum models based on partial differential equations. This formulation is particularly advantageous when applied to material failure problems that result in discontinuous displacement fields. This paper presents a meshfree implementation of a state-based peridynamic bending model based on the idea of rotational springs between pairs of peridynamic bonds. Energy-based analysis determines the properties of these bond pairs for a brittle material, resulting in a constitutive model that naturally gives rise to localized damage and crack propagation.KeywordsPeridynamicsBrittleBeamPlate Non-ordinaryFailureNon-local PlatesShells