PSI - Issue 80

ScienceDirect Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2025) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2025) 000 – 000 Available online at www.sciencedirect.com Procedia Structural Integrity 80 (2026) 471–492

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© 2025 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 Ferri Aliabadi Abstract This study derives the effect of discontinuous initial strain distributions on the small-scale domain switching ahead of the bi material notch formed between a piezoelectric layer and dielectric isotropic substrate. As a piezoelectric layer the piezoelectric ceramics PZT-5H grown on the elastic substrate formed by amorphous silicon dioxide (SiO 2 ) is considered. The energetic switching principle and micromechanical domain switching framework proposed by Hwang et al. (1995) is applied. The initial thermal misfit constant strain is included in the constitutive relations. The analysis of the asymptotic in-plane field of the bi-material notch is conducted utilizing the extended Lekhnitskii-Eshelby-Stroh formalism. The asymptotic in-plane field is used to predict the domain switching zone applying the energy-based criterion. The influence of the thermal misfit strain on the size and shape of the switching zone in the piezoelectric layer is computed for various initial poling directions. Keywords: Small-scale domain switching; Piezoelectric interface crack; Expanded LES formalism; Two-state H-integral. 1. Introduction This work follows up our recent papers Hrstka et al. (2025) which investigates small-scale domain switching ahead of the interface crack in the piezoelectric bi-material comprising piezoelectric ceramics PZT-5H and BaTiO 3 and its impact on the in-plane intensity of singularity at the tip of interface crack is computed. However, no initial thermal misfit strains have been considered. Initial strain in piezoelectric composites is usually formed during the Abstract This study derives the effect of discontinuous initial strain distributions on the small-scale domain switching ahead of the bi material notch formed between a piezoelectric layer and dielectric isotropic substrate. As a piezoelectric layer the piezoelectric ceramics PZT-5H grown on the elastic substrate formed by amorphous silicon dioxide (SiO 2 ) is considered. The energetic switching principle and micromechanical domain switching framework proposed by Hwang et al. (1995) is applied. The initial thermal misfit constant strain is included in the constitutive relations. The analysis of the asymptotic in-plane field of the bi-material notch is conducted utilizing the extended Lekhnitskii-Eshelby-Stroh formalism. The asymptotic in-plane field is used to predict the domain switching zone applying the energy-based criterion. The influence of the thermal misfit strain on the size and shape of the switching zone in the piezoelectric layer is computed for various initial poling directions. Keywords: Small-scale domain switching; Piezoelectric interface crack; Expanded LES formalism; Two-state H-integral. 1. Introduction This work follows up our recent papers Hrstka et al. (2025) which investigates small-scale domain switching ahead of the interface crack in the piezoelectric bi-material comprising piezoelectric ceramics PZT-5H and BaTiO 3 and its impact on the in-plane intensity of singularity at the tip of interface crack is computed. However, no initial thermal misfit strains have been considered. Initial strain in piezoelectric composites is usually formed during the 2452-3216 © 2023 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 Professor Ferri Aliabadi 2452-3216 © 2023 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 Professor Ferri Aliabadi Fracture, Damage and Structural Health Monitoring Influence of initial misfit strains on small scale domain switching ahead of interface crack between piezoelectric layer and dielectric isotropic substrate Miroslav Hrstka a , Michal Kotoul a,b * , Tomáš Profant a , Ferri Aliabadi c a Institute of Solid Mechanics, Mechatronics and Biomechanics, Faculty of Mechanical Engineering, BUT, Technická 2896/2, Brno, 616 69, Czech Republic b Faculty of Special Technology, Alexander Dubček University of Trenčín, Studentska 2, 911 50 Trenčín, Slovak Republic c Department of Aeronautics, Imperial College London, Exhibition Rd, SW7 2AZ South Kensington, London, United Kingdom Fracture, Damage and Structural Health Monitoring Influence of initial misfit strains on small scale domain switching ahead of interface crack between piezoelectric layer and dielectric isotropic substrate Miroslav Hrstka a , Michal Kotoul a,b * , Tomáš Profant a , Ferri Aliabadi c a Institute of Solid Mechanics, Mechatronics and Biomechanics, Faculty of Mechanical Engineering, BUT, Technická 2896/2, Brno, 616 69, Czech Republic b Faculty of Special Technology, Alexander Dubček University of Trenčín, Studentska 2, 911 50 Trenčín, Slovak Republic c Department of Aeronautics, Imperial College London, Exhibition Rd, SW7 2AZ South Kensington, London, United Kingdom * Corresponding author: E-mail address: kotoul@fme.vutbr.cz * Corresponding author: E-mail address: kotoul@fme.vutbr.cz

2452-3216 © 2025 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 Ferri Aliabadi 10.1016/j.prostr.2026.02.046