Results 11 to 20 of about 3,271 (179)
Mathematical construction of a Reissner–Mindlin plate theory for composite laminates
International Journal of Solids and Structures, 2005 AbstractA Reissner–Mindlin theory for composite laminates without invoking ad hoc kinematic assumptions is constructed using the variational-asymptotic method. Instead of assuming a priori the distribution of three-dimensional displacements in terms of two-dimensional plate displacements as what is usually done in typical plate theories, an exact ...
Wenbin Yu
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Computer Methods in Applied Mechanics and Engineering, 1988 Abstract A new mixed finite element formulation of Reissner-Mindlin theory is presented which improves upon the stability properties of the Galerkin formulation. General convergence theorems are proved which are uniformly valid for all values of the plate thickness, including the Poisson-Kirchhoff limit.
Thomas J.R. Hughes, Leopoldo P. Franca
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Rib-Reinforced Ultralight and Ultra-Strong Shell Lattices. [PDF]
Adv Sci (Weinh)This study thoroughly reveals the relation between the curvature and stress direction of triply periodic minimal surface (TPMS) thin shell lattices and proposes a novel rib reinforcement design strategy to incorporate ribs along the line of asymptotes (LOA) and the line of principal curvatures (LOC) to enhance the strength of ultralight TPMS shell ...
Ma WWS +6 more
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Imperfection-Enabled Strengthening of Ultra-Lightweight Lattice Materials. [PDF]
Adv Sci (Weinh)This study identifies different compressive failure modes of cubic lattices with different relative densities and proposes a novel imperfection‐enabled strengthening mechanism of ultra‐lightweight lattice materials. Geometric imperfections are proven to be advantageous in enhancing the stability and strength of lattice materials at ultra‐low relative ...
Ding J +9 more
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Proceedings in Applied Mathematics and Mechanics, Volume 23, Issue 4, December 2023., 2023 Abstract Textile reinforcements have long been used in shell‐like components like tires, belts, hoses and, in particular, air spring bellows. These bellows consist of a certain number of cords embedded in soft rubber, resulting in high membrane stiffness to absorb tensile forces and low resistance to changes in curvature.
Omar Khattabi +2 more
wiley +1 more source
A volume-averaged nodal projection method for the Reissner-Mindlin plate model [PDF]
, 2018 We introduce a novel meshfree Galerkin method for the solution of Reissner-Mindlin plate problems that is written in terms of the primitive variables only (i.e., rotations and transverse displacement) and is devoid of shear-locking. The proposed approach
Bordas, Stéphane P. A. +5 more
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The Reissner–Mindlin plate theory via Γ-convergence
Comptes Rendus. Mathématique, 2006 We obtain the energy functional of Reissner–Mindlin plates as the Γ-limit of a family of three-dimensional energy functionals within the framework of second-order linear elasticity. The choice of the family of functionals, as well as of the candidate limiting functional, is guided by a formal scaling argument.
Paroni, Roberto +2 more
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Finite elements based on Jacobi shape functions for the analysis of beams, plates and shells
International Journal for Numerical Methods in Engineering, Volume 124, Issue 20, Page 4490-4519, 30 October 2023., 2023 Abstract This paper proposes the use of Jacobi polynomials to approximate higher‐order theories of beam, plate, and shell structures. The Carrera unified formulation is used in this context to express displacement kinematics in a hierarchical form. In this manner, classical to complex higher‐order theories can be implemented with ease.
Alfonso Pagani +3 more
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A 4-node quadrilateral element with center-point based discrete shear gap (CP-DSG4)
Vietnam Journal of Mechanics, 2021 This work aims at presenting a novel four-node quadrilateral element, which is enhanced by integrating with discrete shear gap (DSG), for analysis of Reissner-Mindlin plates. In contrast to previous studies that are mainly based on three-node triangular
Minh Nguyen +3 more
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Simulation of linear elastic structural elements using the Petrov–Galerkin finite element method
Proceedings in Applied Mathematics and Mechanics, Volume 23, Issue 2, October 2023., 2023 Abstract In this contribution, it is demonstrated that the mesh sensitivity of linear elastic Reissner–Mindlin finite‐element plate formulations can be significantly reduced by using a Petrov–Galerkin‐based approach. In contrast to the usual Bubnov–Galerkin method, Petrov–Galerkin methods are generally characterized by the fact that the test function ...
Felix Zähringer, Peter Betsch
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