Plane strain deformation of an initially stressed orthotropic elastic medium

Selim, Mahmoud M.; Ahmed, Mousa Khalifa

doi:10.1016/j.amc.2005.08.002

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Mathematics and Formulation Of The Problem1

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2006

2024

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Cited by 13 publications

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“…We place the horizontal (x, y)-plane of a Cartesian coordinate system on the bottom surface and let the plate be in the positive z region, where the medium occupies the region 0 ≤ z ≤ h N . According to [Biot 1965] (see also [Selim and Ahmed 2006]) the dynamic equations for the plate with initial stresses are governed by…”

Section: Mathematics and Formulation Of The Problemmentioning

confidence: 99%

Dispersion of guided waves in initially stressed layered plates

Yu¹,

Li²

2013

J. Mech. Mater. Struct.

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Based on the theory of the mechanics of incremental deformations, guided wave propagation in multilayered plates under initial stresses in the thickness and wave-propagation directions is investigated. The Legendre polynomial series method is used to solve the coupled wave equations and its convergence is discussed along with numerical examples. The effects of initial stresses on Lamb-like waves and SH waves are analyzed, and numerical results show that they are quite distinct. The frequency variation is not linear with the increase of the initial stresses in both directions. The effects of the initial stress in the thickness direction are very different from those in the longitudinal direction.

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Section: Mathematics and Formulation Of The Problemmentioning

confidence: 99%