Micromechanics Analysis on Evolution of Crack in Viscoelastic Materials
-
摘要: 根据Eshelby等效夹杂理论研究含残币形裂纹的粘弹体中裂纹张开位移随时间的缓慢增大以及含裂纹粘弹性体的等效模量随时间的变化。对于Maxwell粘弹性材料给出了模量随时间变化的显式表达式,结果表明裂纹的缓慢张开使材料模量减小更快。Abstract: A preliminary analysis on crack evolution in viscoelastic materials was presented.Based on the equivalent inclusion concept of micro-mechanics theory,the explicit expressions of crack opening displacement δ and energy release rate G were derived,indicating that both δ and G are increasing with time.The equivalent modulus of the viscoelastic solid comprising cracks was evaluated.It is proved that the decrease of the modulus comes from two mechanisms:one is the visco-elasticity of the material,the other is the crack opening which is getting larger with time.
-
Key words:
- isco-elasticity /
- crack /
- micro-mechanics
-
[1] 张双寅,熊电元. 幂律非线性粘弹性材料中的裂纹扩展[J]. 应用数学和力学,1997,18(11):993-1000. [2] Li J, Weng G J, Strain-rate sensitivity, relaxation behavior, and complex moduli of a class of isotropic viscoelastic composites[J]. Journal of Engineering Materials and Technology,1994,116(4):495-504. [3] Mura T. Micromechanics of Defects in Solids[M]. The Hague: Martinus Nijhoff,1994. [4] Mori T, Mura T. An inclusion model for crack arrest in fiber reinforced materials[J]. Mechanics of Materials,1984,3(3):193-198. [5] Zhao Y H, Tandon G P, Weng G J. Elastic moduli for a class of porous materials[J]. Acta Mechanica,1988,76(1/2):105-130. [6] Budiansky B, O'Connell R J. Elastic moduli of a cracked solid[J]. International Journal of Solids and Structures,1976,12(2):81-97. -
计量
- 文章访问数: 2119
- HTML全文浏览量: 73
- PDF下载量: 644
- 被引次数: 0
下载:
渝公网安备50010802005915号