... and the Lur’e method. In two illustrative examples of infinite plates with a circular hole, it is shown that explicit expressions of analytical solutions can be obtained by using the refined theory. inhomogeneous media plates (structures) quasicrystals shear deformation plane problems plate theory...

... ,” Proceedings of the SAMPE-ACCE-DOE Advanced Composites Conference , Detroit, MI, Sept. 27–28, pp. 358 – 366 . adhesion fracture fracture toughness laminates shear deformation bimaterial interface pure mode-I cohesive laws J -integral experimental characterization fracture test modified...

...-8936 , 18 , pp. 31 – 38 . Reissner , E. , 1945 , “ The Effect of Transverse Shear Deformation on the Bending of Elastic Plates ,” ASME J. Appl. Mech. 0021-8936 , 12 , pp. 69 – 77 . Hencky , H. , 1947 , “ Über die Berücksichtigung der Schubverzerrung in ebenen Platten ,” Arch...

... element analysis shear deformation Young's modulus material nonlinearity hyperelastic finite element Cosserat rod Modeling of deformation of carbon nanotubes (CNTs) has been a popular topic of research in recent years (see, e.g., Refs. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15...

...Guangyu Shi; George Z. Voyiadjis This paper presents the derivation of a new beam theory with the sixth-order differential equilibrium equations for the analysis of shear deformable beams. A sixth-order beam theory is desirable since the displacement constraints of some typical shear flexible beams...

... that the determined stiffness matrix is exact and that any type of beam can be analyzed by this method. 25 09 2008 12 06 2010 17 06 2010 20 08 2010 20 08 2010 beams (structures) bending elastic constants finite element analysis shear deformation curved beam elements exact...

... 2010 buckling computer software finite element analysis Green's function methods shear deformation stress-strain relations tensors The finite strain tensors used in practice all belong to the class of Doyle–Erickson tensors ε = ( F T F m / 2 − I ) / m...

...Hui-Shen Shen; Chen-Li Zhang Buckling and post-buckling analysis is presented for axially compressed double-walled carbon nanotubes (CNTs) embedded in an elastic matrix in thermal environments. The double-walled carbon nanotube is modeled as a nonlocal shear deformable cylindrical shell, which...

... and finding a solution for three different cases of increasing complexity: (i) a compressed member of either flexural or shear deformation, (ii) a compressed member of both flexural and shear deformations, and (iii) a compressed sandwich column. It appears that the Engesser hypothesis leads to a critical...

...C. I. Kim; P. Schiavone; C.-Q. Ru We examined the effects of surface elasticity in a classical mode-III crack problem arising in the antiplane shear deformations of a linearly elastic solid. The surface mechanics are incorporated using the continuum based surface/interface model of Gurtin...

...” (CASSEM) European Union (EU) project. The Carrera unified formulation has been employed to implement the considered theories: the classical lamination theory, the first-order shear deformation theory, the equivalent single layer model with fourth-order of expansion in the thickness direction z...

.... The authors would like to stress that they have named their theories as “New First-Order Shear Deformation Plate Theories,” and as such they would like the theories presented to be viewed only as simple alternatives to Reissner’s theory and to Mindlin’s theory. The advantages of the new theories presented...

...J. G. Simmonds 04 08 2007 28 12 2007 20 05 2008 plates (structures) shear deformation This paper joins a host of others, beginning with the seminal papers of Reissner ( 1 2 ), that attempt to improve the accuracy of classical (Kirchhoff) plate theory without...

... analysis internal stresses micromechanical devices shear deformation supports If a beam is attached at one or more ends to a support, the nature of the boundary condition at the support depends on the relative stiffness of the beam to that of the support. In particular, if the rotational...

... model with the same number of parameters. It is shown that shear deformations are more important than dilatational deformations. Lastly, a standard relaxation test is studied and an analytic solution is derived. Samras , R. K. , Skop , R. A. , and Milburn , D. A. , 1974...

...Wenbin Yu; Dewey H. Hodges 21 11 2006 18 12 2006 shear deformation shells (structures) The wrong figure was used for Fig. 1 of the subject paper ( 1 ). Instead, this Fig. 1 should have been used, as was pointed out in the galley proof corrections sent to ASME...

...R. P. Shimpi; H. G. Patel; H. Arya First-order shear deformation theories, one proposed by Reissner and another one by Mindlin, are widely in use, even today, because of their simplicity. In this paper, two new displacement based first-order shear deformation theories involving only two unknown...

... determined using the first-order shear deformation theory. These wave modes, in one of the two mutually orthogonal directions for two-dimensional transient elastodynamics, are then used to enrich the Lagrangian interpolation functions in context of displacement-based finite element. The equilibrium equation...

... and Method of Fundamental Solutions for Laplace and Biharmonic Equations ,” Comput. Math. Appl. 0898-1221 (to be published). Mathematica, 2004 , “ A System of Doing Mathematics by Computer ,” Version 5.0. 08 06 2005 07 10 2005 plates (structures) shear deformation...

...Jun-Sik Kim; Maenghyo Cho A new first-order shear deformation theory (FSDT) has been developed and verified for laminated plates and sandwich plates. Based on the definition of Reissener–Mindlin’s plate theory, the average transverse shear strains, which are constant through the thickness...