C. Chinosi

E. Carrera

L. Della Croce

M. Cinefra

English

PORTO@iris (Publications Open Repository TOrino - Politecnico di Torino)

MITC9 SHELL ELEMENTS BASED ON RMVT AND CUF FOR THE ANALYSIS OF ANISOTROPIC STRUCTURESAuthors: M. Cinefra, C. Chinosi, L. Della Croce, E. CarreraThis paper presents mixed two-dimensional models based on Carrera Unified Formulation for the analysis of mechanical response in anisotropic multilayered structures, with particular attention to the behavior along the thickness of the material. It is well-known that the properties of anisotropic materials are directionally dependent. Unlike isotropic materials that have material properties identical in all directions, anisotropic material’s properties such as Young’s Modulus, change with direction along the object. Common examples of anisotropic materials are wood and composite laminates. In the two dimensional modelling of multilayered plates and shells, the main interest is to study the mechanical response, that may change in the thickness direction. In particular, the transverse shear and normal stresses are required to be continuous in each layer interface (Interlaminar Continuity, IC).Among the computational techniques developed for layered constructions, a predominant role is played by Finite Element Method (FEM). In this regard, two variational formulations are available to reach the stiffness matrices, the Principle of Virtual Displacement (PVD) and the Reissner Mixed Variational Theorem (RMVT). The PVD, formulated with only displacements, cannot describe a priori IC for transverse stresses. On the contrary, they can be a-priori assumed in the framework of RMVT, which consists of a mixed principle for multilayered structures.     It is known that when FEM is used to study shell structures, the phenomenon of numerical locking may arise: the so-called membrane and shear locking. A well known  remedy for the locking is the use of the Mixed Interpolated Tensorial Components (MITC) technique.    In previous authors’ papers [1-3], a strategy similar to MITC approach in the RMVT formulation has been introduced in order to construct an advanced locking-free finite element based on Carrera’s Unified Formulation to treat laminates made of isotropic or ortotropic layers with fibres orientation 0° and 90°. The present work extends this element to the analysis of anisotropic composites with layers arbitrarily oriented.References:[1] Chinosi C., Cinefra M., Della Croce L., Carrera E., Reissner's Mixed Variational Theorem toward MITC finite elements for multilayered plates, Composite Structures, 99, 443-452, 2013.[2] Cinefra M., Chinosi C., Della Croce L., Carrera E., Refined shell finite elements based on RMVT and MITC for the analysis of laminated structures, Composite Structures, 113, 492-497, 2014.[3] Chinosi C., Della Croce L., Cinefra M., Carrera E., Approximation of anisotropic multilayered plates through RMVT and MITC elements, Composite Structures, 158, 252-261, 2016.

MITC9 shell elements based on RMVT and CUF for the analysis of anisotropic structures

https://iris.polito.it/bitstream/11583/2690120/1/RMVT_MITC_CUF_anisotropi.doc

MITC9 shell elements based on RMVT and CUF for the analysis of anisotropic structures

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