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The Newton-Kantorovich method in analytical solution of plane elasticity problems under superimposed finite strainsстатья
Дата последнего поиска статьи во внешних источниках: 25 апреля 2017 г.
- Авторы: Levin Vladimir Anatolievich, Zingerman Konstantin Moiseevich
- Журнал: Applied Mathematical Sciences
- Том: 10
- Год издания: 2016
- Издательство: Hikari Ltd.
- Местоположение издательства: Bulgaria
- Первая страница: 2789
- Последняя страница: 2799
- DOI: 10.12988/ams.2016.67220
- Аннотация: The specific features of the application of modified Newton's method to approximate analytical solution of a class of nonlinear elasticity prob- lems under finite plane strains are described. This class of problems includes problems of stress distribution around holes in infinite nonlin- ear elastic bodies. The problems are solved within the framework of the theory of superimposed finite strains. It is assumed that holes are originated in previously loaded bodies undergoing finite homogeneous initial strains. The specific features mentioned above are related with the necessity to obtain functions in right parts of linearized equations in a form that admits analytical integration. For this purpose, the equa- tions and boundary conditions are written in a special form using the Cayley{Hamilton theorem and some changes of variables. The analysis is performed for the materials of Mooney type. Some numerical results are given.
- Добавил в систему: Левин Владимир Анатольевич