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    Vibrations of an Incompressible Linearly Elastic Plate Using Discontinuous Finite Element Basis Functions for Pressure 

    Source: Journal of Vibration and Acoustics:;2019:;volume( 141 ):;issue: 005:;page 51016
    Author(s): Yuan, Lisha; Batra, Romesh C.
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: We numerically analyze, with the finite element method, free vibrations of incompressible rectangular plates under different boundary conditions with a third-order shear and normal deformable theory (TSNDT) derived by ...
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    Correspondence Relations Between Deflection, Buckling Load, and Frequencies of Thin Functionally Graded Material Plates and Those of Corresponding Homogeneous Plates 

    Source: Journal of Applied Mechanics:;2015:;volume( 082 ):;issue: 011:;page 111006
    Author(s): Li, Shi; Wang, Xuan; Batra, Romesh C.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Based on the classical plate theory (CPT), we derive scaling factors between solutions of bending, buckling and free vibration of isotropic functionally graded material (FGM) thin plates and those of the corresponding ...
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    Free and Forced Vibrations of Monolithic and Composite Rectangular Plates With Interior Constrained Points 

    Source: Journal of Vibration and Acoustics:;2019:;volume( 141 ):;issue: 001:;page 11018
    Author(s): Chattopadhyay, Arka P.; Batra, Romesh C.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The restriction of deformations to a subregion of a system undergoing either free or forced vibration due to an irregularity or discontinuity in it is called mode localization. Here, we study mode localization in free and ...
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    Edge Debonding in Peeling of a Thin Flexible Plate From an Elastomer Layer: A Cohesive Zone Model Analysis 

    Source: Journal of Applied Mechanics:;2017:;volume( 084 ):;issue: 002:;page 21003
    Author(s): Mukherjee, Bikramjit; Batra, Romesh C.; Dillard, David A.
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A cohesive zone modeling (CZM) approach with a bilinear traction-separation relation is used to study the peeling of a thin overhanging plate from the edge of an incompressible elastomeric layer bonded firmly to a stationary ...
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