Crack and fracture theory of liquid crystals and quasicrystals
Liquid crystals and quasicrystals are fascinating phases of modern physics and chemistry, they are also important materials in current and potential applications. The liquid crystals belong to intermediate phase between fluids and solids in macroscopic sense, they present behaviour of anisotropic fluids, i.e., they behave both characters of conventional fluids and anisotropic elastic solids. The quasicrystals present unusual mechanical and physical properties due to the atomic arrangement being quite different from that of conventional crystals. To describe the mechanical behaviour of quasicrystals, one must introduce two different displacement fields. this leads to two different strain tensors and two stress tensors. This paper reports some results in the study on crack and fracture problems of liquid crystals and quasicrystals. The nonlinear fracture analysis is important for the both materials. However there is fundamental difficulty in the analysis due to lack of plastic constitutive equations for them. Some physical models and relevant mathematical methods are developed to overcome the difficulty, and some results have been obtained. which are of a development of fracture theory of conventional structural materials.
Liquid crystals quasicrystal crack. fracture
Tian You Fan
School of Physics,Beijing Institute of Technology,Beijing,10008l.China
国际会议
北京
英文
1-13
2013-06-16（万方平台首次上网日期，不代表论文的发表时间）