Effect of Shear Correction Factor on Response of Cross-ply Laminated Plates using FSDT

2005 ◽  
Vol 55 (4) ◽  
pp. 377-387 ◽  
Author(s):  
G. P. Dube ◽  
S. Kapuria ◽  
P. C. Dumir ◽  
J. P. Pramod
Keyword(s):  
Correction Factor ◽  
Laminated Plates ◽  
Shear Correction Factor

Studies Regarding the Shear Correction Factor in the Mindlin Plate Theory for Sandwich Plates

2017 ◽  
Vol 21 ◽  
pp. 301-308 ◽  
Author(s):  
Mihai Vrabie ◽  
Radu Chiriac ◽  
Sergiu Andrei Băetu
Keyword(s):  
Shear Deformation ◽  
Correction Factor ◽  
Plate Theory ◽  
Plate Thickness ◽  
Shear Stiffness ◽  
Laminated Plates ◽  
Mindlin Plate ◽  
Sandwich Plates ◽  
Shear Correction Factor ◽  
Mindlin Plate Theory

The displacement field from the first-order shear deformation plate theory (FSDT) extents the cinematic aspect of the classical theory of laminated plates (CLPT), including a transverse shear deformation, considered constant on the plate thickness. In order to correct this aspect, in FSDT (named also the Mindlin plate theory) a coefficient Ks was inserted, named shear correction factor, used as a multiplier in the shear stiffness equation of the plate. In this paper are presented the most popular methods for determination of the shear correction factor, identifying the differences between them. To emphasize the influence of the shear correction factor on the stress response, a numerical parametric study was done on some sandwich plates filled with polyurethane foam. The processing of the obtained results allow drawing some conclusions useful in the designing of this type of sandwich plates.

On the Quest for the Best Timoshenko Shear Coefficient

2003 ◽  
Vol 70 (1) ◽  
pp. 154-157 ◽  
Author(s):  
M. B. Rubin
Keyword(s):  
Correction Factor ◽  
Timoshenko Beam ◽  
Theoretical Basis ◽  
Natural Frequencies ◽  
Beam Theory ◽  
Vibrational Frequencies ◽  
Timoshenko Beam Theory ◽  
Cosserat Theory ◽  
Shear Correction Factor ◽  
Shear Coefficient

Classical Timoshenko beam theory includes a shear correction factor κ which is often used to match natural vibrational frequencies of the beam. In this note, a number of static and dynamic examples are considered which provide a theoretical basis for specifying κ=1. Within the context of Cosserat theory, natural frequencies of the beam can be matched by appropriate specification of the director inertia coefficients with κ=1.

Experimental validation of the shear correction factor

2003 ◽  
Vol 261 (1) ◽  
pp. 177-184 ◽  
Author(s):  
S. Puchegger ◽  
S. Bauer ◽  
D. Loidl ◽  
K. Kromp ◽  
H. Peterlik
Keyword(s):  
Correction Factor ◽  
Experimental Validation ◽  
Shear Correction Factor

scholarly journals Vibration controlof tapered magnetostrictive plate considering shear correction factor

2016 ◽  
Vol 23 (4) ◽  
pp. 1741-1752 ◽  
Author(s):  
A. Ghorbanpour Arani ◽  
Z. Khoddami Maraghi ◽  
H. Khani Arani
Keyword(s):  
Correction Factor ◽  
Shear Correction Factor

scholarly journals Porous Functionally Graded Plates: An Assessment of the Influence of Shear Correction Factor on Static Behavior

2020 ◽  
Vol 25 (2) ◽  
pp. 25 ◽  
Author(s):  
Ana F. Mota ◽  
Maria Amélia R. Loja ◽  
Joaquim I. Barbosa ◽  
José A. Rodrigues
Keyword(s):  
Correction Factor ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Static Behavior ◽  
Graded Materials ◽  
Shear Correction Factor ◽  
Quadrilateral Plate ◽  
Bending Behavior ◽  
Application Fields

The known multifunctional characteristic of porous graded materials makes them very attractive in a number of diversified application fields, which simultaneously poses the need to deepen research efforts in this broad field. The study of functionally graded porous materials is a research topic of interest, particularly concerning the modeling of porosity distributions and the corresponding estimations of their material properties—in both real situations and from a material modeling perspective. This work aims to assess the influence of different porosity distribution approaches on the shear correction factor, used in the context of the first-order shear deformation theory, which in turn may introduce significant effects in a structure’s behavior. To this purpose, we evaluated porous functionally graded plates with varying composition through their thickness. The bending behavior of these plates was studied using the finite element method with two quadrilateral plate element models. Verification studies were performed to assess the representativeness of the developed and implemented models, namely, considering an alternative higher-order model also employed for this specific purpose. Comparative analyses were developed to assess how porosity distributions influence the shear correction factor, and ultimately the static behavior, of the plates.

AN ASYMPTOTIC ANALYSIS ON THE FORM OF NAGHDI TYPE ARCH MODEL

2008 ◽  
Vol 18 (03) ◽  
pp. 417-442 ◽  
Author(s):  
SHENG ZHANG
Keyword(s):  
Correction Factor ◽  
Cross Sections ◽  
Full Range ◽  
Relative Energy ◽  
Beam Model ◽  
Arch Model ◽  
Dimensional Model ◽  
One Dimensional ◽  
Shear Correction Factor ◽  
Transverse Shearing

We consider a one-dimensional model of generally curved elastic arches whose cross-sections are rectangular. The model is of Naghdi's type which is a generalization of the Timoshenko beam model, which allows bending, membrane and transverse shearing deformations. Its form is basically determined in the literature, except for the value of a shear correction factor. With this factor being set to 1, we prove that the modelling error in the interior relative energy norm is proportional to the arch thickness. This result holds for the full range of arch shapes and very general loads. Lower modelling accuracy is proven to hold up to the arch ends. Any shear correction factor other than 1 makes the model diverge from the elasticity theory when a significant shear is involved in the deformation.

scholarly journals Mindlin-Reissner Analytical Model with Curvature for Tunnel Ventilation Shafts Analysis

Mathematics ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1096
Author(s):  
José Álvarez-Pérez ◽  
Fernando Peña
Keyword(s):  
Correction Factor ◽  
Numerical Models ◽  
Continuous Distribution ◽  
Radius Of Curvature ◽  
Tunnel Ventilation ◽  
New Model ◽  
Shear Correction Factor ◽  
Ventilation Shaft ◽  
Proposed Model ◽  
Thick Shells

The formulation and analytic solution of a new mathematical model with constitutive curvature for analysis of tunnel ventilation shaft wall is proposed. Based on the Mindlin–Reissner theory for thick shells, this model also takes into account the shell constitutive curvature and considers an expression of the shear correction factor variable (αn) in terms of the thickness (h) and the radius of curvature (R). The main advantage of the proposed model is that it has the possibility to analyze thin, medium and thick tunnel ventilation shafts. As a result, two comparisons were made: the first one, between the new model and the Mindlin–Reissner model without constitutive curvature with the shear correction factor αn=5/6 as a constant, and the other, between the new model and the tridimensional numerical models (solids and shells) obtained by finite element method for different slenderness ratios (h/R). The limitation of the proposed model is that it is to be formulated for a general linear-elastic and axial-symmetrical state with continuous distribution of the mass.

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