PSI - Issue 52

ScienceDirect Structural Integrity Procedia 00 (2022) 000 – 000 Structural Integrity Procedia 00 (2022) 000 – 000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Available online at www.sciencedirect.com ScienceDirect

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 52 (2024) 348–355

© 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 Abstract The phase-field method is lately one of the most popular approaches for modelling of complex fracture phenomena. As known, the displacement field and phase-field variable cannot be determined simultaneously, except for easy problems, due to non-convexity of the energy functional. As a remedy, several staggered solution strategies have been proposed, where two PDE system is solved. Materials produced by powder metallurgy, such as sintered materials are increasingly in use. Compared to materials produced by traditional metallurgical production procedures, they possess exceptionally good vibration and noise reduction properties, and high rate of material utilisation. This makes this class of materials highly attractive for application in many fields of industry, especially for production of the complex geometry components. In this work, experimental investigation results performed on Astaloy Mo+0.2C, with density 6.5 g/cm3, will be used for validation of the phase field staggered algorithm. The proposed algorithm consists of two mesh layers (displacement- and phase field mesh layer), and it is implemented into FE software Abaqus via user subroutines UMAT and UEL. The numerical results obtained show good agreement to experimental testing. © 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 Keywords: "phase-field; powder metallurgy; Abaqus" 1. Introduction During the last years, great effort has been invested into revealing new materials and ways of improving existing materials, to satisfy increasing demands on mechanical or structural components. Some of the requirements have in focus that material has to be cost-effective, with good accuracy, fewer vibrations in operation, low waste of raw materials, recyclability, long service life, great load-carrying capacity, etc. In this area, one of the popular processes of steel material production is Powder Metallurgy (PM) process. The PM process contains an automatic die compaction and sintering process. Sintering is the process of thermal treatment of metal powders below the melting temperature of the major constituent. Regarding the benefits of machine elements produced by the PM process, they are very popular in the production of automotive gears due to noise and mass reduction [1,2], in biomedicine, agriculture, etc [3]. Progress in the industry of sintered steel enables enhancement of the load-carrying capacity 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 Constitutive Modelling of Sintered Steel by Phase-field Method "Tomislav Polančec, Tomislav Lesičar, Jakov Rako" "University of Zagreb, I. Lučića 5, Zagreb 10000, Croatia" Abstract The phase-field method is lately one of the most popular approaches for modelling of complex fracture phenomena. As known, the displacement field and phase-field variable cannot be determined simultaneously, except for easy problems, due to non-convexity of the energy functional. As a remedy, several staggered solution strategies have been proposed, where two PDE system is solved. Materials produced by powder metallurgy, such as sintered materials are increasingly in use. Compared to materials produced by traditional metallurgical production procedures, they possess exceptionally good vibration and noise reduction properties, and high rate of material utilisation. This makes this class of materials highly attractive for application in many fields of industry, especially for production of the complex geometry components. In this work, experimental investigation results performed on Astaloy Mo+0.2C, with density 6.5 g/cm3, will be used for validation of the phase field staggered algorithm. The proposed algorithm consists of two mesh layers (displacement- and phase field mesh layer), and it is implemented into FE software Abaqus via user subroutines UMAT and UEL. The numerical results obtained show good agreement to experimental testing. © 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 Keywords: "phase-field; powder metallurgy; Abaqus" 1. Introduction During the last years, great effort has been invested into revealing new materials and ways of improving existing materials, to satisfy increasing demands on mechanical or structural components. Some of the requirements have in focus that material has to be cost-effective, with good accuracy, fewer vibrations in operation, low waste of raw materials, recyclability, long service life, great load-carrying capacity, etc. In this area, one of the popular processes of steel material production is Powder Metallurgy (PM) process. The PM process contains an automatic die compaction and sintering process. Sintering is the process of thermal treatment of metal powders below the melting temperature of the major constituent. Regarding the benefits of machine elements produced by the PM process, they are very popular in the production of automotive gears due to noise and mass reduction [1,2], in biomedicine, agriculture, etc [3]. Progress in the industry of sintered steel enables enhancement of the load-carrying capacity 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 Constitutive Modelling of Sintered Steel by Phase-field Method "Tomislav Polančec, Tomislav Lesičar, Jakov Rako" "University of Zagreb, I. Lučića 5, Zagreb 10000, Croatia"

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 10.1016/j.prostr.2023.12.034