Research On The Decagonal Quasicrystal Beam Problems

Quasicrystal(QC) is a new material with singular structure and physical properties,is a kind of new material without the crystal periodicity and orderly arrangement of different from the amorphous,in recent years the development of quasicrystal is very good,has a wide application value.In engineering structure,the beam is a part of the basic components,all kinds of beam structure are widely applied in the practical engineering,in this paper,we mainly study two kinds of two-dimensional decagonal quasicrystal beams,the main contents are as follows:The main research content of this article is:two-dimensional decagonal quasicrystal beam,the problem of the main content is divided into the following two parts:1 .Two-dimensional decagonal quasicrystal cantilever problem.According to the displacement of the expression gives the basic equations of quasicrystal elasticity theory.This paper uses the inverse method to study the two-dimensional decagonal quasicrystal cantilever beam bending,effectively avoids the direct solving complex quasicrystal elastic theory of partial differential equation boundary value problem.and discusses under the law of the variation of the phonon field and the phase field displacement under the concentrated force.2.Two-dimensional decagonal quasicrystal clamped beam problem.Under uniform load,is given two-dimensional decagonal quasicrystal plane elasticity problem the basic solution of the final control equation ,on this basic,given complex representation of stress and displacement,the fixed beam boundary conditions and control equation of basic solution,we can obtain the corresponding equations,handles the unified equation of two-dimensional decagonal quasicrystal plane beam boundary value problems,and dicusses the applying influence on displacement of phonon field and the phase field.