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Volume and surface methods for microparticle traction force microscopy: a computational and experimental comparison.

Soft Matter
Brauburger S, Kraus BK, Walther T, Mense C, Abele T, Göpfrich K, Schwarz US.   +6 more
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On new first-order shear deformation plate theories

Mechanics Research Communications, 2016
This paper presents the variationally consistent first-order shear deformation plate theory based on Hamilton’s principle. The governing partial differential equation of motion, in terms of shear deformation, is of the sixth order per x and y. An advanced plate theory satisfying force equilibrium, in terms of bending deflection, of the fourth order is ...
Tomić, Marko, Senjanović, Ivo, Vladimir, Nikola   +2 more
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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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On a consistent first-order shear-deformation theory for laminated plates

Composites Part B: Engineering, 1997
Abstract This paper systematically states the consistent first-order shear-deformation theory for laminated plates recently proposed by Qi and Knight. It assumes that only in an average sense does a straight line originally normal to the midplane remain straight and rotate relative to the normal of the midplane, and in a local sense a slight ...
Norman F. Knight, Yunqian Qi
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Restatement of first-order shear-deformation theory for laminated plates

International Journal of Solids and Structures, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knight, Norman F. jun., Qi, Yunqian
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New first order shear deformation beam theory with in-plane shear influence

Engineering Structures, 2016
In the conventional formulation of the Timoshenko beam theory bending and shear deflection cannot be determined uniquely. Recently, an alternative formulation which deals with total deflection and bending deflection has been developed with unique results.
Tomić, Marko, Senjanović, Ivo, Hadžić, Neven, Vladimir, Nikola   +3 more
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An accurate modeling of piezoelectric smart beams with first-order shear deformation theory

International Journal of Modeling, Simulation, and Scientific Computing, 2015
A finite element model for piezoelectric smart beam in extension mode based on First-order Shear Deformation Theory (FSDT) with an appropriate through-thickness distribution of electric potential is presented. Accuracy of piezoelectric finite element formulations depends on the selection of assumed mechanical and electrical fields.
Litesh N. Sulbhewar, P. Raveendranath
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Free vibration analysis of shear-deformable Al alloy plates using FEM with first order shear deformation theory

International Journal of Computer Aided Engineering and Technology, 2015
This paper mainly presents free vibration analysis of an isotropic thin plate using first order shear deformation theory. This analysis has been held for four types of aluminium (Al) alloys namely Al 95, Al 96, Al 98 and Al 995. The stiffness and mass matrices are calculated using first order shear deformation theory for two varying thicknesses of the ...
A. Thanapaul, S. Ganesh, S. Milan
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Enhanced First-Order Shear Deformation Theory for Laminated and Sandwich Plates

Journal of Applied Mechanics, 2005
A new first-order shear deformation theory (FSDT) has been developed and verified for laminated plates and sandwich plates. Based on the definition of Reissener–Mindlin’s plate theory, the average transverse shear strains, which are constant through the thickness, are improved to vary through the thickness.
Jun-Sik Kim, Maenghyo Cho
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Refined First-Order Shear Deformation Theory Models for Composite Laminates

Journal of Applied Mechanics, 2003
In the present work, new mixed variational formulations for a first-order shear deformation laminate theory are proposed. The out-of-plane stresses are considered as primary variables of the problem. In particular, the shear stress profile is represented either by independent piecewise quadratic functions in the thickness or by satisfying the three ...
AURICCHIO, FERDINANDO, SACCO E.
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