On principal shear axes for correction factors in Timoshenko beam theory

2013-05-15
Dong, S. B.
Carbas, S.
Taciroglu, E.
Compelling arguments with substantiating data are presented to explain why there is no role for principal shear axes in shear correction factors of Timoshenko beam theory. This article supplies more details to the explanation in a previous paper on this issue.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Suggestions

Coupled thermoviscoplasticity of glassy polymers in the logarithmic strain space based on the free volume theory
Miehe, Christian; Mendez Diez, Joel; Göktepe, Serdar; Schaenzel, Lisa Marie (Elsevier BV, 2011-06-15)
The paper outlines a constitutive model for finite thermo-visco-plastic behavior of amorphous glassy polymers and considers details of its numerical implementation. In contrast to existing kinematical approaches to finite plasticity of glassy polymers, the formulation applies a plastic metric theory based on an additive split of Lagrangian Hencky-type strains into elastic and plastic parts. The analogy between the proposed formulation in the logarithmic strain space and the geometrically linear theory of pl...
An endochronic plasticity formulation for filled rubber
NETZKER, Christiane; Dal, Hüsnü; KALISKE, Michael (Elsevier BV, 2010-09-01)
The nature of elastomeric material demands the consideration of finite deformations, nonlinear elasticity including damage as well as rate-dependent and rate-independent dissipative properties. While many models accounting for these effects have been refined over time to do better justice to the real behavior of rubber-like materials, the realistic simulation of the elastoplastic characteristics for filled rubber remains challenging.
Solution of the dynamic frictional contact problem between a functionally graded coating and a moving cylindrical punch
BALCI, MEHMET NURULLAH; Dağ, Serkan (Elsevier BV, 2019-04-01)
This paper presents an analytical method developed to investigate the dynamic frictional contact mechanics between a functionally graded coating and a rigid moving cylindrical punch. Governing partial differential equations of elastodynamics are solved analytically by applying Galilean and Fourier transformations. Interface continuity and boundary conditions are written and contact problem is then reduced to a singular integral equation of the second kind. The singular integral equation is solved numericall...
A METHOD OF STRAIN AND STRESS-ANALYSIS OF COMPOSITES FOR NONLINEAR STRAIN DISTRIBUTION CASE
ARDIC, ES; BOLCAN, C; Kayran, Altan (Elsevier BV, 1994-12-01)
In this study, a method of strain and stress analysis is developed to determine the stress and strain fields in fibers and matrix of a laminated composite for the cases of nonlinear strain and stress distributions with high gradients. The strain values calculated by using a classical method are considered as input, and the strain fields at each layer are determined. These strain fields are then used as input to express the strains in fibers and matrix. In these processes the heterogeneity effects, which ...
A refined dynamic theory for viscoelastic cylindrical shells and cylindrical laminated composites, Part 2: An application
Birlik, G.A.; Mengi, Yalçın (Elsevier BV, 1989-4)
In this study, the general approximate theory developed in Part 1 for shells is assessed for axially symmetric elastic waves propagating in a closed circular cylindrical shell (hollow rod). The spectra predicted by zeroth and second order approximate theories are determined for various values of shell thicknesses and the Poisson ratios and they are compared with those of exact theory. It is found that the agreement between the two is good. Approximate and exact cut-off frequencies match almost exactly. The ...
Citation Formats
S. B. Dong, S. Carbas, and E. Taciroglu, “On principal shear axes for correction factors in Timoshenko beam theory,” INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, pp. 1681–1688, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67158.