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Thermal shock cracking in thin plate specimens using a gradient damage model

Marwa Dhahri, Radhi Abdelmoula, Jia Li and Yamen Maalej

Vol. 18 (2023), No. 1, 19–38
Abstract

We present a numerical model to simulate the damage and fracture process occurred in ceramic materials under thermal shock conditions. In particular, the variational principle is applied to gradient damage analysis in the establishment of the numerical model. The experiments on quenching tests of circular specimens are used to validate the efficiency of the model, proving that the proposed model is capable of reproducing faithfully the entire damage-fracture process of the ceramic specimens. Moreover, influences of different physical parameters are examined and discussed. We find that an internal length scale parameter, which can be considered as a material parameter, plays an important role in the entire fracture process.

Keywords
thermal shock, brittle fracture and gradient damage model, numerical simulations
Milestones
Received: 8 October 2021
Revised: 17 February 2022
Accepted: 21 February 2022
Published: 24 March 2023
Authors
Marwa Dhahri
Laboratory of Process and Material Sciences, CNRS-UPR 3407
University of Sorbonne Paris Nord
Villetaneuse
France
Laboratory of Applied Mechanics and Engineering
University of Tunis El Manar
Tunis
Tunisia
Radhi Abdelmoula
Laboratory of Process and Material Sciences, CNRS-UPR 3407
University of Sorbonne Paris Nord
Villetaneuse
France
Jia Li
Laboratory of Process and Material Sciences, CNRS-UPR 3407
University of Sorbonne Paris Nord
Villetaneuse
France
Yamen Maalej
Laboratory of Applied Mechanics and Engineering
University of Tunis El Manar
Tunis
Tunisia