Theory of micropolar orthotropic elastic multilayered thin plates.
نویسندگان
چکیده
منابع مشابه
Diffraction of flexural waves by cracks in orthotropic thin elastic plates. I Formal solution
The problem of flexural wave diffraction by a semi-infinite crack in an infinite orthotropic thin plate is considered. Such models have application to the ultrasonic non-destructive inspection of thin components, such as aeroplane wings. For simplicity, the plate is modelled using Kirchhoff theory, and the crack is chosen to be aligned along one of the principal directions of material orthotrop...
متن کاملDiffraction of flexural waves by cracks in orthotropic thin elastic plates. Part II. Far field analysis
The scattered field arising from diffraction of a plane flexural wave by a semi-infinite crack in an orthotropic Kirchhoff thin plate is analysed. The crack is aligned with a principal direction of the material, so that two of the plate’s three planes of symmetry are preserved. An asymptotic approximation is derived via the method of steepest descents, and explicit expressions are given for the...
متن کاملEdge layers in thin elastic plates
Monique DAUGE and Isabelle GRUAIS Abstract. This paper deals with the asymptotics of the displacement of a thin elastic plate when it is submitted to various boundary conditions on its lateral face: namely, hard and soft clamped conditions, and hard support. Of particular interest is the in uence of the edges of the plate where boundary conditions of di erent types meet. The singular perturbati...
متن کاملElastic theory of unconstrained non-Euclidean plates
Non-Euclidean plates are a subset of the class of elastic bodies having no stress-free configuration. Such bodies exhibit residual stress when relaxed from all external constraints, and may assume complicated equilibrium shapes even in the absence of external forces. In this work we present a mathematical framework for such bodies in terms of a covariant theory of linear elasticity, valid for l...
متن کاملStructural optimization of thin elastic plates: the three dimensional approach
The natural way to find the most compliant design of an elastic plate, is to consider the three-dimensional elastic structures which minimize the work of the loading term, and pass to the limit when the thickness of the design region tends to zero. In this paper, we study the asymptotic of such compliance problem, imposing that the volume fraction remains fixed. No additional topological constr...
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: Mechanics - Proceedings of National Academy of Sciences of Armenia
سال: 2012
ISSN: 0002-3051
DOI: 10.33018/65.4.7