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On the formulation of elastic and electroelastic gradient beam theoriesстатья
- Авторы: Sergey Lurie, Yury Solyaev
- Журнал: Continuum Mechanics and Thermodynamics
- Год издания: 2019
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- DOI: 10.1007/s00161-019-00781-3
- Аннотация: Variational approach for the formulation of gradient beam-type models is discussed. The second gradient elasticity and electroelasticity theories are considered. It is shown that introducing the classical Bernoulli–Euler hypotheses one should take into account the additional boundary conditions on the top and bottom surfaces of the beam to construct the correct gradient beam theory. These boundary conditions are missed in number of works; however, they straightforwardly follow from the variational formulation of the beam-type models as well as from the three-dimensional statement of the boundary value problems of considered gradient theories. Simple example of verification of the correct beam-type models by using semi-inverse analytical solution of a beam pure bending problem is given.
- Добавил в систему: Лурье Сергей Альбертович