|
|||||
|
|
| ANALYSIS OF THE DYNAMIC BEHAVIOR OF A GRIFFITH PERMEABLE CRACK IN PIEZOELECTRIC MATERIALS WITH THE NON-LOCAL THEORY | |
| 引用本文： | Zhou Zhengong Wang Biao Sun Yuguo (Center for Composite Materials and Electrio-Optics Research Center,Harbin Institute of Technology,Harbin 150001,China). ANALYSIS OF THE DYNAMIC BEHAVIOR OF A GRIFFITH PERMEABLE CRACK IN PIEZOELECTRIC MATERIALS WITH THE NON-LOCAL THEORY[J]. Acta Mechanica Solida Sinica, 2003, 16(1): 52-60. DOI: 10.1007/PL00013118 |
| 作者姓名： | Zhou Zhengong Wang Biao Sun Yuguo (Center for Composite Materials and Electrio-Optics Research Center Harbin Institute of Technology Harbin 150001 China) |
| 作者单位： | Center for Composite Materials and Electrio-Optics Research Center，Harbin Institute of Technology，Harbin 150001，China |
| 摘 要： | The dynamic behavior ofa Griffith permeable crack under harmonic anti-plane shearwaves in the piezoelectric materials is investigated by use of the non-local theory.To overcome themathematical difficulties,a one-dimensional non-local kernel is used instead of a two-dimensionalone for the anti-plane dynamic problem to obtain the stress and the electric displacement near thecrack tips.By means of Fourier transform,the problem can be solved with a pair of dual integralequations that the unknown variable is the jump of the displacement across the crack surfaces.These equations are solved with the Schmidt method and numerical examples are provided.Con-trary to the previous results,it is found that no stress and electric displacement singularities arepresent at the crack tip.The finite hoop stress and the electric displacement depend on the cracklength,the lattice parameter of the materials and the circle frequency of the incident waves.Thisenables us to employ the maximum stress hypothesis to deal with fracture problems in a naturalway. |
ANALYSIS OF THE DYNAMIC BEHAVIOR OF A GRIFFITH PERMEABLE CRACK IN PIEZOELECTRIC MATERIALS WITH THE NON-LOCAL THEORY |
|
| Zhou Zhengong Wang Biao Sun Yuguo. ANALYSIS OF THE DYNAMIC BEHAVIOR OF A GRIFFITH PERMEABLE CRACK IN PIEZOELECTRIC MATERIALS WITH THE NON-LOCAL THEORY[J]. Acta Mechanica Solida Sinica, 2003, 16(1): 52-60. DOI: 10.1007/PL00013118 | |
| Authors: | Zhou Zhengong Wang Biao Sun Yuguo |
| Affiliation: | (1) Center for Composite Materials and Electrio-Optics Research Center,Harbin Institute of Technology, Harbin 150001, China, CN |
| Abstract: | The dynamic behavior ofa Griffith permeable crack under harmonic anti-plane shear waves in the piezoelectric materials is investigated by use of the non-local theory.To overcome the mathematical difficulties,a one-dimensional non-local kernel is used instead of a two-dimensional one for the anti-plane dynamic problem to obtain the stress and the electric displacement near the crack tips.By means of Fourier transform,the problem can be solved with a pair of dual integral equations that the unknown variable is the jump of the displacement across the crack surfaces. These equations are solved with the Schmidt method and numerical examples are provided.Con- trary to the previous results,it is found that no stress and electric displacement singularities are present at the crack tip.The finite hoop stress and the electric displacement depend on the crack length,the lattice parameter of the materials and the circle frequency of the incident waves.This enables us to employ the maximum stress hypothesis to deal with fracture problems in a natural way. |
| Keywords: | crack piezoelectric materials non-local theory Schmidt method |
| 本文献已被 CNKI SpringerLink 等数据库收录！ | |