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

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Mechanical models of residually stressed fibre-reinforced solids,which do not resist bending,have been developed in the literature.However,in some residually stressed fibre-reinforced elastic solids,resistance to fibre bending is significant,and the mechanical behavior of such solids should be investigated.Hence,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 past.The proposed constitutive equation involves a nonsymmetric stress and a couple-stress tensor.Spectral 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 proposed.Moreover,we use this prototype to give results for some cylindrical boundary value problems.

fibre-reinforced solidresidual stressbending stiffnessspectral invariantsecond gradientfinite elasticity

M.H.B.M.SHARIFF、J.MERODIO、R.BUSTAMANTE

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Department of Mathematics,Khalifa University of Science and Technology,Abu Dhabi 127788,United Arab Emirates

Departamento de Matematica Aplicada a las TIC,ETS de Ingenieria de Sistemas Informaticos,Universidad Politecnica de Madrid,Madrid 28031,Spain

Departamento de Ingenieria Mecanica,Universidad de Chile,Beauchef 851,Santiago Centro,Santiago 8370448,Chile

2022

应用数学和力学(英文版)
上海大学

应用数学和力学(英文版)

CSCDSCI
影响因子：0.294
ISSN：0253-4827
年,卷(期)：2022.43(10)
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