Analysis on the propagation of Griffith crack in a magnetoelastic self-reinforced strip subjected to moving punch of con
- PDF / 714,863 Bytes
- 18 Pages / 595.276 x 790.866 pts Page_size
- 118 Downloads / 151 Views
O R I G I NA L
Moumita Mahanty · Pulkit Kumar · Abhishek Kumar Singh · Amares Chattopadhyay
Analysis on the propagation of Griffith crack in a magnetoelastic self-reinforced strip subjected to moving punch of constant load Received: 8 April 2020 / Accepted: 13 September 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The present study analysed the characteristics of a moving Griffith crack in a self-reinforced strip of finite thickness and infinite extent with the moving parallel punches of constant load acting on the boundaries of the strip at both sides due to the propagation of magnetoelastic plane waves under mechanical point loading. With the aid of integral transform technique, problem has been reduced to the pair of simultaneous singular integral equations with Cauchy-type singularities. The point load at the edge of the moving crack is considered in terms of Dirac delta function, and the expression of stress intensity factor (SIF) at the crack tip with constant point loading has been established in closed form by using the well-known properties of Hilbert transformation. Moreover, some of the special cases have been deduced from the obtained expression of SIF for the force of constant intensity, without punch pressure and anisotropy in the considered strip. Numerical computations and graphical demonstrations have been carried out to observe the profound effect of magnetoelastic coupling parameter, punch pressure, crack length, distinct positions of point load and the velocity of crack associated with magnetoelastic plane wave on SIF for self-reinforced materials and isotropic material strip. A comparative study of SIF at the tip of moving crack has been made for the self-reinforced and isotropic materials to highlight some of the important peculiarities of the problem. Keywords Moving crack · Stress intensity factor · Self-reinforced · Magnetoelastic plane wave · Hilbert transformation
1 Introduction The problem of the determination of stress and strain fields in the elastic solids containing the cracks of finite dimensions has received considerable attention during recent years. A knowledge of the stress field in the vicinity of a crack in the considered medium/material is a requirement for the prediction of fracture and failure of the material. The mathematical modelling of the fracture problems in the elastic solids has received great M. Mahanty (B) · P. Kumar · A. K. Singh · A. Chattopadhyay Department of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand 826004, India E-mail: [email protected] P. Kumar E-mail: [email protected] A. K. Singh E-mail: [email protected] A. Chattopadhyay E-mail: [email protected]
M. Mahanty et al.
attention of engineers as well as scientists of distinct fields. The application of an impulsive disturbance to the surface of an elastic body produces elastic waves which encounter internal flaws such as cracks, and a complicated pattern of diffracted waves is generated [1]. T
Data Loading...
