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A consistent higher order beam theory
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The article was published on 1982-01-01 and is currently open access. It has received 174 citations till now. The article focuses on the topics: Timoshenko beam theory & Order (business).read more
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A higher order beam finite element for bending and vibration problems
Paul R. Heyliger,J. N. Reddy +1 more
TL;DR: In this paper, the finite element equations for a variationally consistent higher-order beam theory are presented for the static and dynamic behavior of rectangular beams, which correctly accounts for the stress-free conditions on the upper and lower surfaces of the beam while retaining the parabolic shear strain distribution.
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A Review of Refined Shear Deformation Theories for Isotropic and Anisotropic Laminated Beams
Yuwaraj M. Ghugal,R. P. Shimpi +1 more
TL;DR: A review of displacement and stress based refined theories for isotropic and anisotropic laminated plates is presented in this paper, together with their merits and demerits, where exact elasticity solutions for the plate problems are cited.
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Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature
TL;DR: A critical review of literature on bending, buckling and free vibration analysis of shear deformable isotropic, laminated composite and sandwich beams based on equivalent single layer theories, layerwise theories, zig-zag theories and exact elasticity solution is presented in this paper.
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Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory
TL;DR: In this article, a finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory is presented, where the core of sandwich beam is fully metal or ceramic and skins are composed of a functionally graded material across the depth.
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A new simple third-order shear deformation theory of plates
TL;DR: In this paper, an improved simple third-order shear deformation theory for the analysis of shear flexible plates is presented, which is composed of three parts: the simple thirdorder kinematics of displacements reduced from the higher-order displacement field derived previously by the author; a system of 10th-order differential equilibrium equations in terms of the three generalized displacements of bending plates; five boundary conditions at each edge of plate boundaries.