Uniqueness in the nonlinear dynamic bending of elastic plates

B. J. Matkowsky; L. J. Putnick

doi:10.1007/BF01390078

Uniqueness in the nonlinear dynamic bending of elastic plates

B. J. Matkowsky^*, L. J. Putnick

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A uniqueness theorem for the solution of a nonlinear initial-boundary value problem for a time dependent form of von Karman's equations is proven. These equations are two coupled nonlinear fourth order partial differential equations which describe the bending of an elastic plate. The result is proved by the method of energy integrals.

Original language	English (US)
Pages (from-to)	167-171
Number of pages	5
Journal	Journal of Elasticity
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/BF01390078
State	Published - Jun 1975

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1007/BF01390078

Cite this

@article{320b06f14674478ba04a124cb67e90c0,

title = "Uniqueness in the nonlinear dynamic bending of elastic plates",

abstract = "A uniqueness theorem for the solution of a nonlinear initial-boundary value problem for a time dependent form of von Karman's equations is proven. These equations are two coupled nonlinear fourth order partial differential equations which describe the bending of an elastic plate. The result is proved by the method of energy integrals.",

author = "Matkowsky, {B. J.} and Putnick, {L. J.}",

year = "1975",

month = jun,

doi = "10.1007/BF01390078",

language = "English (US)",

volume = "5",

pages = "167--171",

journal = "Journal of Elasticity",

issn = "0374-3535",

publisher = "Springer Netherlands",

number = "2",

}

TY - JOUR

T1 - Uniqueness in the nonlinear dynamic bending of elastic plates

AU - Matkowsky, B. J.

AU - Putnick, L. J.

PY - 1975/6

Y1 - 1975/6

N2 - A uniqueness theorem for the solution of a nonlinear initial-boundary value problem for a time dependent form of von Karman's equations is proven. These equations are two coupled nonlinear fourth order partial differential equations which describe the bending of an elastic plate. The result is proved by the method of energy integrals.

AB - A uniqueness theorem for the solution of a nonlinear initial-boundary value problem for a time dependent form of von Karman's equations is proven. These equations are two coupled nonlinear fourth order partial differential equations which describe the bending of an elastic plate. The result is proved by the method of energy integrals.

UR - http://www.scopus.com/inward/record.url?scp=0016522061&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0016522061&partnerID=8YFLogxK

U2 - 10.1007/BF01390078

DO - 10.1007/BF01390078

M3 - Article

AN - SCOPUS:0016522061

SN - 0374-3535

VL - 5

SP - 167

EP - 171

JO - Journal of Elasticity

JF - Journal of Elasticity

IS - 2

ER -

Uniqueness in the nonlinear dynamic bending of elastic plates

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this