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pure bending of simply supported circular plate of transversely isotropic functionally graded material

Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2006年第8期7卷 1324-1328页

作者： LI Xiang-yu DING Hao-jiang CHEN Wei-qiu Department of Civil Engineering Zhejiang University Hangzhou 310027 China

This paper considers the pure bending problem of simply supported transversely isotropic circular plates with elastic compliance coefficients being arbitrary functions of the thickness coordinate. First, the partial differential equation, which is satisfied by the stress functions for the axisymmetric deformation problem is derived. Then, stress functions are obtained by proper manipulation. The analytical expressions of axial force, bending moment and displacements are then deduced through integration. And then, stress functions are employed to solve problems of transversely isotropic functionally graded circular plate, with the integral constants completely determined from boundary conditions. An elasticity solution for pure bending problem, which coincides with the available solution when degenerated into the elasticity solutions for homogenous circular plate, is thus obtained. A numerical example is finally presented to show the effect of material inhomogeneity on the elastic field in a simply supported circular plate of transversely isotropic functionally graded material (FGM).

关键词： Transversely isotropic Functionally graded materials (FGMs) pure bending problem Simply supported circular plate Axisymmetric deformation

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pure bending of Simply Supported Circular Plate of Functionally Graded Magneto-Electro-Elastic Material with Transverse Isotropy

Pure Bending of Simply Supported Circular Plate of Functiona...

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第二届全国压电和声波理论及器件技术研讨会

作者： Xiangyu Li,Haojiang Ding,Weiqiu Chen (Department of Civil Engineering,Zhejiang University,Hangzhou 310027,P.R.China)

This paper considers the pure bending problem of simply supported transversely isotropic magneto-electro-elastic circular plates with material coefficients being arbitrary functions of z,the thickness *** expanding the displacement,electric potential and magnetic potential into suitable polynomials in r,the radial coordinate,with the coefficients being the undetermined functions of z,the partial differential equations governing the axisymmetric problems are converted into a set of ordinary differentials,which can be solved by integrating step by step and incorporating with the boundary conditions.A 3D analytical solution for the pure bending problem,which can be degenerated into the homogeneous cases,is thus obtained.A numerical example is present to show the influence of the material inhomogeneity on the elastic,elastic and magnetic fields in the simply supported circular plate of functionally graded magneto-electro-elastic material wtih transverse isotropy.

关键词： Transverse isotropy Functionally graded magneto-electro-elastic materials pure bending problem Simply supported plate Axisymmetric deformation

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