Satyendra Nath Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake, Kolkata-700106, India.
Phys Rev E. 2019 Jul;100(1-1):012107. doi: 10.1103/PhysRevE.100.012107.
The brittle to quasibrittle transition has been studied for a compound of two different kinds of fibrous materials, having distinct difference in their breaking strengths under the framework of the fiber bundle model. A random fiber bundle model has been devised with a bimodal distribution of the breaking strengths of the individual fibers. The bimodal distribution is assumed to consist of two symmetrically placed rectangular probability distributions of strengths p and 1-p, each of width d, and separated by a gap 2s. Different properties of the transition have been studied varying these three parameters and using the well-known equal load-sharing dynamics. Our study exhibits a brittle to quasibrittle transition at the critical width d_{c}(s,p)=p(1/2-s)/(1+p) confirmed by our numerical results.
已经在纤维束模型的框架内研究了两种不同类型纤维材料的化合物的脆性到准脆性转变，它们在断裂强度方面存在明显差异。设计了一种具有纤维断裂强度双峰分布的随机纤维束模型。双峰分布假设由两个对称放置的强度为 p 和 1-p 的矩形概率分布组成，每个分布的宽度为 d，由一个间隙 2s 隔开。通过改变这三个参数并使用众所周知的等负载分配动力学，研究了转变的不同性质。我们的研究通过数值结果证实了临界宽度 d_{c}(s,p)=p(1/2-s)/(1+p)处的脆性到准脆性转变。
