Thedevelopmentofa newree ned platetheoryand its two simplevariantsisgiven. Thetheorieshavestrongcommonality withtheequationsofclassicalplatetheory (CPT).However,unlikeCPT,thesetheoriesassumethatlateral and axial displacements have bending shear components such that do not contribute toward shearforces and, likewise, shearing moments. The theory one of variants are variationally consistent, whereasthesecond variant isvariationally inconsistent usesthe relationships between moments, forces,...

First-order shear deformation theories, one proposed by Reissner and another Mindlin, are widely in use, even today, because of their simplicity. In this paper, two new displacement based first-order theories involving only unknown functions, as against three functions case Reissner’s Mindlin’s introduced. For static problems, governing equations the uncoupled. And for dynamic inertially coupled, whereas those other theory elastically coupled. Both variationally consistent. The effectiveness...

This paper presents an approach for combining approximation models with genetic algorithm-based design optimization procedures. An important objective here is to develop which empirically ensures that the GA converges asymptotically optima of original problem using a limited number exact analysis. It shown this may be posed as dynamic problem, wherein fitness function changes over successive generations. Criteria selecting points where analysis should carried out are proposed based on...

A higher order displacement model for laminated composite plates is presented. The has trigonometric terms in addition to thin plate and contains six unknowns. satisfies shear stress conditions at top bottom of the plate. Governing equations boundary are obtained using virtual work principle. present gives simple governing equations. been applied various simply supported rectangular isotropic, orthotropic layered static free vibration analysis. This yields better results as compared other models.

A Layerwise Trigonometric Shear Deformation Theory (LTSDT) for the analysis of two layered cross-ply laminated beams, taking into account discrete layer transverse shear deformation effects, is presented. The theory as simple first order and does not require correction factor. sinusoidal function used in displacement field terms thickness coordinate to represent deformation. most important feature that stress can be obtained directly from use constitutitve relations, satisfying stress-free...

This paper proposes a simple single variable shear deformation theory for an isotropic beam of rectangular cross-section. The involves only one fourth-order governing differential equation. For bending problems, the equation and expressions moment force are strikingly similar to those Euler–Bernoulli theory. vibration buckling comes out as special case when terms pertaining effects ignored from present chosen displacement functions give rise realistic parabolic distribution transverse stress...

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, of Mindlin has three coupled equations involving unknown functions. Even recently developed two uncoupled functions for static problems. The displacement the proposed give rise to constant transverse strains through thickness and, as is case theory, also requires correction factor. equation, expressions moments and...

In this paper, variationally consistent layer-wise trigonometric shear deformation theory (LTSDT) has been extended to deal with free vibration of two-layered laminated cross-ply beams. displacement based theory, constitutive relations between shear-stresses and shear-strains are satisfied in both the layers, and, therefore, correction factor is not required. In-plane such that resultant normal stress acting over cross section zero. Compatibility at layer interface respect in-plane also...

The paper presents a novel shear deformation plate theory involving only two variables. Taking cue from exact three-dimensional of elasticity solutions for plate, hyperbolic functions are used describing displacement variation across thickness. involves governing equations, which uncoupled statics and inertially coupled dynamics. stress free surface conditions satisfied. No correction factor is required. variationally consistent, has strong similarity with classical theory, simple, yet...