Single variable new first-order shear deformation theory for isotropic plates [PDF]
Latin American Journal of Solids and Structures, 2018 Abstract This paper presents a single variable new first-order shear deformation plate theory with only one fourth-order partial governing differential equation. It may be noted that, first-order shear deformation plate theory of Mindlin has three coupled partial governing differential equations involving three unknown functions.
SHIMPI, RP, GURUPRASAD, PJ, PAKHARE, KS
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New First-Order Shear Deformation Plate Theories
Journal of Applied Mechanics, 2006 First-order shear deformation theories, one proposed by Reissner and another one by Mindlin, are widely in use, even today, because of their simplicity. In this paper, two new displacement based first-order shear deformation theories involving only two unknown functions, as against three functions in case of Reissner’s and Mindlin’s theories, are ...
SHIMPI, RP, PATEL, HG, ARYA, H
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Computers & Structures, 2023 A formulation of the asymptotically exact first-order shear deformation theory for linear-elastic homogeneous plates in the rescaled coordinates and rotation angles is considered. This allows the development of its asymptotically accurate and shear-locking-free finite element implementation.
K.C. Le, H.-G. Bui
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Geometrically Nonlinear First Order Shear Deformation Theory for General Anisotropic Shells [PDF]
49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference <br> 16th AIAA/ASME/AHS Adaptive Structures Conference<br> 10t, 2008 A generalized first-order shear deformation theory for anisotropic multilayered shells is presented. It includes the effects of geometrically nonlinear deformations and general initial curvature. The field equations are expressed in orthogonal conjugate curvilinear coordinates in the shell's middle surface.
Pirrera, Alberto, Weaver, Paul M
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Analysis of functionally graded sandwich plates using a new first-order shear deformation theory [PDF]
, 2014 In this paper, a new first-order shear deformation theory is presented for functionally graded sandwich plates composed of functionally graded face sheets and an isotropic homogeneous core. By making a further assumption to the existing first-order shear
Thai, Huu-Tai +3 more
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A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates [PDF]
, 2013 A new sinusoidal shear deformation theory is developed for bending, buckling, and vibration of functionally graded plates. The theory accounts for sinusoidal distribution of transverse shear stress, and satisfies the free transverse shear stress ...
Thai, Huu-Tai, Vo, Thuc
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Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory [PDF]
, 2015 This paper proposes a new higher-order shear deformation theory for buckling and free vibration analysis of isotropic and functionally graded (FG) sandwich beams.
Thai, Huu-Tai +3 more
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Vibration and buckling analysis of functionally graded sandwich plates with improved transverse shear stiffness based on the first-order shear deformation theory [PDF]
, 2014 An improved transverse shear stiffness for vibration and buckling analysis of functionally graded sandwich plates based on the first-order shear deformation theory is proposed in this paper.
Thai, Huu-Tai +2 more
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Static and free vibration of axially loaded functionally graded beams based on the first-order shear deformation theory [PDF]
, 2013 The first-order shear deformation beam theory for static and free vibration of axially loaded rectangular functionally graded beams is developed. In this theory, the improved transverse shear stiffness is derived from the in-plane stress and equilibrium ...
Thai, Huu-Tai +2 more
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Axial-flexural coupled vibration and buckling of composite beams using sinusoidal shear deformation theory [PDF]
, 2013 A finite element model based on sinusoidal shear deformation theory is developed to study vibration and buckling analysis of composite beams with arbitrary lay-ups.
Thai, Huu-Tai, Inam, Fawad, Vo, Thuc
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