Nonlinear elastic constitutive relations of residually stressed composites with stiff curved fibres

作     者：M.H.B.M.Shariff J.Merodio R.Bustamante M.H.B.M.SHARIFF;J.MERODIO;R.BUSTAMANTE

作者机构：Department of MathematicsKhalifa University of Science and TechnologyAbu Dhabi127788United Arab Emirates Departamento de Matemática Aplicada a las TICETS de Ingeniería de Sistemas InformaticosUniversidad Politecnica de MadridMadrid28031Spain Departamento de Ingeniería MecánicaUniversidad de ChileBeauchef 851Santiago CentroSantiago8370448Chile 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2022年第43卷第10期

页      面：1515-1530页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

主　　题：fibre-reinforced solid residual stress bending stiffness spectral invariant second gradient finite elasticity 

摘      要：Mechanical models of residually stressed fibre-reinforced solids,which do not resist bending,have been developed in the ***,in some residually stressed fibre-reinforced elastic solids,resistance to fibre bending is significant,and the mechanical behavior of such solids should be ***,in this paper,we model the mechanical aspect of residually stressed elastic solids with bending stiffness due to fibre curvature,which up to the authors’knowledge has not been mechanically modeled in the *** proposed constitutive equation involves a nonsymmetric stress and a couple-stress *** invariants are used in the constitutive equation,where each spectral invariant has an intelligible physical meaning,and hence they are useful in experiment and analysis.A prototype strain energy function is ***,we use this prototype to give results for some cylindrical boundary value problems.