contributor author | W. H. Yang | |
contributor author | C. H. Lu | |
date accessioned | 2017-05-09T01:36:00Z | |
date available | 2017-05-09T01:36:00Z | |
date copyright | March, 1973 | |
date issued | 1973 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-25974#7_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163539 | |
description abstract | A set of three nonlinear partial-differential equations is derived for general finite deformations of a thin membrane. The material that composes the membrane is assumed to be hyperelastic. Its mechanical property is represented by the neo-Hookean strain-energy function. The equations reduce to special cases known in the literature. A fast convergent algorithm is developed. The numerical solutions to the finite-difference approximation of the differential equations are computed iteratively with a trivial initial iterant. As an example, the problem of inflating a rectangular membrane with fixed edges by a uniform pressure applied on one side is presented. The solutions and their convergence are displayed and discussed. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | General Deformations of Neo-Hookean Membranes | |
type | Journal Paper | |
journal volume | 40 | |
journal issue | 1 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3422977 | |
journal fristpage | 7 | |
journal lastpage | 12 | |
identifier eissn | 1528-9036 | |
keywords | Deformation | |
keywords | Membranes | |
keywords | Equations | |
keywords | Pressure | |
keywords | Mechanical properties | |
keywords | Algorithms | |
keywords | Differential equations AND Approximation | |
tree | Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001 | |
contenttype | Fulltext | |