Francesco Tornabene^*, Matteo Viscoti, Rossana Dimitri

CMES-Computer Modeling in Engineering & Sciences, Vol.142, No.2, pp. 1697-1765, 2025, DOI:10.32604/cmes.2025.058841 - 27 January 2025

Abstract This study presents a generalized two-dimensional model for evaluating the stationary hygro-thermo-mechanical response of laminated shell structures made of advanced materials. It introduces a generalized kinematic model, enabling the assessment of arbitrary values of temperature variation and mass concentration variation for the unvaried configuration at the top and bottom surfaces. This is achieved through the Equivalent Layer-Wise description of the unknown field variable using higher-order polynomials and zigzag functions. In addition, an elastic foundation is modeled utilizing the Winkler-Pasternak theory. The fundamental equations, derived from the total free energy of the system, are solved analytically… More > Graphic Abstract

Francesco Tornabene^*, Matteo Viscoti, Rossana Dimitri

CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.2, pp. 1393-1468, 2023, DOI:10.32604/cmes.2022.022237 - 31 August 2022

Abstract In the present manuscript, a Layer-Wise (LW) generalized model is proposed for the linear static analysis of doublycurved shells constrained with general boundary conditions under the influence of concentrated and surface loads. The unknown field variable is modelled employing polynomials of various orders, each of them defined within each layer of the structure. As a particular case of the LW model, an Equivalent Single Layer (ESL) formulation is derived too. Different approaches are outlined for the assessment of external forces, as well as for non-conventional constraints. The doubly-curved shell is composed by superimposed generally anisotropic… More >

Yaping Zhang¹, Qifeng Fan², Leiting Dong^2,3, Satya N. Atluri⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.112, No.1, pp. 1-32, 2016, DOI:10.3970/cmes.2016.112.001

Abstract Similar to the very vast prior literature on analyzing laminated composite structures, "higher-order" and "layer-wise higher-order" plate and shell theories for functionally-graded (FG) materials and structures are also widely popularized in the literature of the past two decades. However, such higher-order theories involve (1) postulating very complex assumptions for plate/shell kinematics in the thickness direction, (2) defining generalized variables of displacements, strains, and stresses, and (3) developing very complex governing equilibrium, compatibility, and constitutive equations in terms of newly-defined generalized kinematic and generalized kinetic variables. Their industrial applications are thus hindered by their inherent complexity,… More >