Sentence examples for multiple cracks problem from inspiring English sources

The symmetric boundary element method for multiple cracks problem is derived using Betti's reciprocal theorem.

After using the principle of superposition, the multiple crack problem in a finite plate can be converted into two problems: (a) the multiple crack problem in an infinite plate and (b) a usual boundary value problem for the finite plate.

This paper studies a numerical solution of multiple crack problem in a finite plate using coupled integral equations.

The finite element method is utilized to obtain the solution of the multiple crack problem and the Thermal Stress Intensity Factors (TSIFs) are calculated.

The IE FE coupling algorithm is also successfully extended to solve multiple crack problems.

The resultant FE solution with a symmetrical stiffness matrix, having the singularity effect of imbedded cracks in IEs, is required only for solving multiple crack problems.

Then the crack equations for a multiple-crack problem are formulated with the crack interactions taken into account explicitly, and the validity of the numerical solutions is discussed.

Following the development of the fictitious crack model (FCM) by Hillerborg and his colleagues for analyzing the cracking behavior of a single crack, less progress was made in extending the method to multiple-crack problems despite extensive research efforts.

It is structured in two parts: (i) experimental results and main characteristics of the crack networks, and (ii) numerical simulation on the multiple crack growth problem, using a modified stress intensity factor, and a generalized Paris' law.

This research develops new techniques for solving fracture problems involving multiple cracks.

The present work investigates the problem of multiple cracks on the arc-shaped interface of a semi-cylindrical magneto-electro-elastic layer bonded onto an orthotropic substrate.