Low velocity impact of transversely isotropic beams and plates
type: Item
instance of: scholarly article
title: Low velocity impact of transversely isotropic beams and plates
zbMATH Open document ID: 0618.73120
DOI: 10.1016/0020-7683(87)90085-0
author: William P. Schonberg
author: Leon M. Keer
author: Tai-Kuo Woo
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: The dynamic structural contact problem of a rigid, smooth cylindrical striker impacting an elastically supported transversely isotropic beam and plate are solved. The solutions are obtained as a superposition of a static layer solution derived through the use of integral transforms with an elementary beam or plate theory solution that incorporates the dynamic effects. The problems are formulated in such a manner as to require the solution of a Volterra integral equation for each time step. Numerical results are presented for fixed and simply supported beams and plates. Three materials are used to study the effects of anisotropy: magnesium, which is nearly isotropic; cadmium, which is moderately anisotropic; and graphite/epoxy, which is highly anisotropic.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74M20
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 4003705
zbMATH Keywords: dynamic indentation
zbMATH Keywords: equation of second kind
zbMATH Keywords: dynamic structural contact problem
zbMATH Keywords: rigid
zbMATH Keywords: smooth cylindrical striker
zbMATH Keywords: elastically supported transversely isotropic beam
zbMATH Keywords: plate
zbMATH Keywords: superposition of a static layer solution
zbMATH Keywords: Volterra integral equation
zbMATH Keywords: fixed
zbMATH Keywords: simply supported
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90085-0
OpenAlex ID: W1982210875
description: scientific article; zbMATH DE number 4003705