Asymptotic model of linearly visco-elastic Kelvin–Voigt type plates via Trotter theory
نویسندگان
چکیده
منابع مشابه
Refined theory for linearly elastic plates: Laminae and laminates
It is well known that bending and stretching modes of deformation in linearly-elastic plates decouple at leading order in thickness provided that the mid-plane is a plane of reflection symmetry of the three-dimensional material properties. This situation being the exception rather than the norm, it is important to have a model that accommodates coupling in a manner consistent with the threedime...
متن کاملAn Asymptotically Optimal Model for Isotropic Heterogeneous Linearly Elastic Plates
Abstract. In this paper, we derive and analyze a Reissner–Mindlin–like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger– Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymp...
متن کاملAn Elastic-Visco-Plastic Damage Model : From Theory to Application
An energy-based two-variable damage theory is applied to Bodner's model. It gives an elastic-viswplastic damage model. Some theoretical details are descnied in this paper. The parameters identification procedure is discussed and a complete set of parameters for an aluminium is presented. Numerical modelling of the laboratoly tests are used to validate the model. An industrial aeronautic rod fab...
متن کامل2 A Computational Model for Visco - Elastic
Particle diiusion in rotating drums is studied via computer simulations using a full 3-D model which does not involve any arbitrary input parameters. The diiusion coeecient for single-component systems agree qualitatively with previous experimental results. On the other hand, the diiusion coeecient for two-component systems is shown to be a highly nonlinear function of the rotation velocity. It...
متن کاملAn asymptotic theory of sandwich plates
Elastic plates can be described by a two-dimensional theory, if the characteristic length of the stress state along the plate, l; is much bigger than the plate thickness, h: If all elastic moduli of a laminated plate are of the same order, no matter how many lamina the plate has, then the normal to the mid-surface of the plane remain normal in the course of deformation, and the deformation of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2019
ISSN: 1687-1847
DOI: 10.1186/s13662-019-2104-6