Extending a higher-order foldability constitutive model for dynamic response analysis of 3D-reinforced shell of deformable

IF 2.3 3区工程技术 Q2 MECHANICS

Acta Mechanica Pub Date : 2025-01-20 DOI:10.1007/s00707-024-04216-2

Xizhu Li, Ling Luo, Mostafa Habibi, Luyao Wang

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Abstract

This analytical paper investigates application of a novel higher-order shear deformable mathematical model for investigating vibrational analysis of a doubly curved shell in which the kinematic relations are extended using the variable-thickness transverse deflection. The Hamiltonian method is extended to derive the governing motions equations in the curvilinear coordinate system. The constitutive relations are extended using the experimental and statistical relations in the literature for a copper matrix including various amount of three-dimensional graphene nanofillers named as graphene origami using hydrogenation process. The analytical results are presented using the mathematical model in order to trace the impact of graphene origami characteristics and geometric parameters of the double-curved shell. The temperature-dependency relations for material properties as well as folding and content are employed for investigating the impact of affecting parameters. The results are presented with and without thickness stretching effect to arrive at a more confidence results.

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扩展用于可变形三维加固壳体动态响应分析的高阶可折叠性构成模型

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来源期刊

Acta Mechanica 物理-力学

CiteScore

4.30

自引率

14.80%

发文量

292

审稿时长

6.9 months

期刊介绍： Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.