PSI - Issue 60

Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2023) 000 – 000

www.elsevier.com/locate/procedia

ScienceDirect

Procedia Structural Integrity 60 (2024) 214–221

© 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the ICONS 2023 Organizers Abstract Ceramic materials used in mechanical applications show variations in their properties due to the presence of cracks. Micro-cracks within the material (size, orientation and density) affect the ceramic material's strength and other mechanical properties. This study developed a micro-mechanics-based model that accounts for the original orientation of micro-cracks and their propagation as wing cracks. Unlike other micromechanics-based models, the current model defines failure based on entropy associated with crack propagation within the material. Entropy is calculated from energy dissipation from crack propagation from the pre existing flaws in the ceramic. The Unified Mechanics Theory (UMT) is used to define entropy-based damage in the ceramic material, in which a parameter called thermodynamic state index (TSI) is employed to describe the state of the material. A representative volume element (RVE) with a pre-existing flaw is used to calculate the energy dissipated during the wing crack propagation. The effect of various crack lengths and orientations is incorporated with a probability density function. The strain rate effects are implemented using dynamic crack growth law. The stress-strain curve at strain rate from quasi-static to high strain rate (10 -3 -10 6 ) is plotted for Alumina under dynamic compression. © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the ICONS 2023 Organisers Keywords: Ceramic materials; High strain rate; Unified Mechanics Theory; Constitutive modelling; 1. Introduction Ceramic materials, renowned for their remarkable combination of high strength, excellent thermal stability, and corrosion resistance, have found various applications across various industries. One of the important applications of ceramic is ballistic protection(Dresch et al., 2021). Body armour systems can utilise ceramic materials like Alumina, Third International Conference on Structural Integrity 2023 (ICONS 2023) Development of Micro-mechanical Constitutive Model for Alumina at High Strain Rates Using Unified Mechanics Theory Brahmadathan V B a , Lakshmana Rao C b a Department of Applied Mechanics and Bio-Medical Engineering, Indian Institute of Technology Madras, Chennai-600042, India (brahmadathanvb@gmail.com). b Department of Applied Mechanics and Bio-Medical Engineering, Indian Institute of Technology Madras, Chennai-600042, India (lakshman@iitm.ac.in).

2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the ICONS 2023 Organizers

2452-3216 © 2024 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of the ICONS 2023 Organizers 10.1016/j.prostr.2024.05.043