吕念春, 程靳, 金琰, 屈德志. 复合材料中桥连问题的裂纹动力学模型[J]. 工程力学, 2000, 17(6): 117-120.
引用本文: 吕念春, 程靳, 金琰, 屈德志. 复合材料中桥连问题的裂纹动力学模型[J]. 工程力学, 2000, 17(6): 117-120.
LU Nian-chun, CHENG Jin, JIN Yan, QU De-zhi. A MODEL OF CRACK DYNAMICS ON BRIDGE OF A COMPOSITE MATERIAL[J]. Engineering Mechanics, 2000, 17(6): 117-120.
Citation: LU Nian-chun, CHENG Jin, JIN Yan, QU De-zhi. A MODEL OF CRACK DYNAMICS ON BRIDGE OF A COMPOSITE MATERIAL[J]. Engineering Mechanics, 2000, 17(6): 117-120.

复合材料中桥连问题的裂纹动力学模型

A MODEL OF CRACK DYNAMICS ON BRIDGE OF A COMPOSITE MATERIAL

  • 摘要: 复合材料大多由纤维和基体组成,宏观是各向异性的。产生裂纹后,其纤维处形成“桥连”。至今人们研究大多是桥连的静力学问题1。本文建立一种桥连动力学模型,将桥连处用载荷代替,当裂纹扩展时,纤维也连续的开裂。文中首次求得了正交异性体中扩展裂纹受运动的集中力Pt/x作用问题的解析解,并利用这一解,通过迭加最终求得了该模型的解。

     

    Abstract: Fiber-reinforced materials are characterized by macro-anisotropy. Bridges ore formed when cracks appear. Up to now, almost all the research efforts on bridges have been limited to static analysis. In this paper, a dynamic model for bridges is set up to study the dynamic fracture behavior of the bridges. In the model, loads are substituted for the bridge segments and the fibers continue to rip off when the cracks start propagating. An analytical solution on the crack propagation in an orthotropic body under a point force Pt/x is developed in this paper. The solution is utilized to obtain various solutions of the model by means of super position.

     

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