Topic
Timoshenko beam theory
About: Timoshenko beam theory is a research topic. Over the lifetime, 9426 publications have been published within this topic receiving 200570 citations.
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TL;DR: In this paper, the dynamics of the Timoshenko beam is recast such that the description requires information only at the end points, and a dynamic stiffness relation suitable for assembling is presented in the form of a dynamic stiff relation.
120 citations
TL;DR: Yang et al. as mentioned in this paper developed a model for composite laminated Reddy plate based on modified couple stress theory, and a new curvature tensor is defined for establishing the constitutive relations of laminated plate.
120 citations
TL;DR: In this article, a finite strain continuum theory is presented for unidirectional fiber reinforced composites under in-plane loading, and the constitutive response is expressed in terms of couple stress theory, and deduced from a unit cell of a linear elastic Timoshenko beam embedded in a non-linear elastic-plastic matrix.
Abstract: A finite strain continuum theory is presented for unidirectional fibre reinforced composites under in-plane loading. The constitutive response is expressed in terms of couple stress theory, and is deduced from a unit cell of a linear elastic Timoshenko beam embedded in a non-linear elastic-plastic matrix. The continuum theory is implemented within a finite element framework and is used to analyse compressive failure of polymer matrix composites by fibre microbuckling. It is assumed that microbuckling initiates from an imperfection in the form of a finite elliptical region of fibre waviness. The calculations show that the compressive strength decreases with increasing imperfection spatial size from the elastic bifurcation value of Rosen (1965, Fibre Composite Materials, pp. 37–75, American Society Metals Seminar) to the imperfection-sensitive infinite band strength given by Fleck et al. [1995, J. Appl. Mech. 62, 329–337.].
120 citations
TL;DR: In this paper, the bending behavior of a general sandwich beam, delaminated (debonded) at one of the skin-core interfaces, with transversely flexible core, based on variational principles is analytically investigated.
119 citations
TL;DR: In this paper, an exact dynamic stiffness matrix for a twisted Timoshenko beam is developed in order to investigate its free vibration characteristics, and the resulting stiffness matrix is used with particular reference to the Wittrick-Williams algorithm to compute the natural frequencies and mode shapes of a twisted timoshenko beam with cantilever end condition.
119 citations