PSI - Issue 16

Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2019) 000 – 000

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ScienceDirect

Procedia Structural Integrity 16 (2019) 35–42

© 2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the 6th International Conference “Fracture Mechanics of Materials and Structural Integrity” organizers. © 2019 The Author(s). Published by Elsevier B.V. Peer- review under responsibility of the 6th International Conference “Fracture Mechanics of Materials and Structural Integrity” organizers In this paper, a multi-scale analysis is presented for n cleation and growth of a microcrack in front of a macrocrack. The loading conditions of the elementary cell re determined t the mesoscopic level in order to perform an analysis of the microcrack growth at a icroscopic level. Both the influence f the inclusion shape in the cell and the state of stress on the mechanism of material failure near the crack tip are analyzed. The relations between the mechanical properties of the inclusion and the matrix are determined, ca sing different mechanisms of damage to be experimentally observed. © 2019 The Author(s). Published by Elsevier B.V. Peer- review under responsibility of the 6th International Conference “Fracture Mechanics of Materials and Structural Integrity” organizers 6th International Conference “Fracture Mechanics of Materials and Structural Integrity” Influence of the inclusion shape and the constraints level on damage to the elementary cell Jaroslaw Galkiewicz* Kielce University of Technology, Aleja Tysiaclecia Panstwa Polskiego 7, 25-314 Kielce, Poland 6th International Conference “Fracture Mechanics of Materials and Structural Integrity” Influence of the inclusion s ape and he constraints level on damage to the elementary cell Jaroslaw Galkiewicz* Kielce University of Technology, Aleja Tysiaclecia Panstwa Polskiego 7, 25-314 Kielce, Poland Abstract In this paper, a multi-scale analysis is presented for nucleation and growth of a microcrack in front of a macrocrack. The loading conditions of the elementary cell are determined at the mesoscopic level in order to perform an analysis of the microcrack growth at a microscopic level. Both the influence of the inclusion shape in the cell and the state of stress on the mechanism of material failure near the crack tip are analyzed. The relations between the mechanical properties of the inclusion and the matrix are determined, causing different mechanisms of damage to be experimentally observed. Keywords: cohesive model; void nucleation; material failure; fracture mechanics Fractographic studies reveal several conditions of failure for a material with a heterogeneous structure. In the case of inclusions with very high strength parameter values, a complete debonding of the inclusion from the matrix may occur (Fig. 1a). When the inclusion is considerably weaker than the matrix, a crack growth may appear along one plane running through the inclusion and the surrounding material (Fig. 1b), provided that the strength of the interface bonds is sufficiently high. If this condition is not satisfied, the crack will undergo a bifurcation, where the main crack is accompanied by a debonding of the inclusion from the surrounding material (Fig. 1c). Fractographic studies reveal several conditions of failure for a material with a heterogeneous structure. In the case of inclusions with very high strength parameter values, a complete debonding of the inclusion from the matrix may occur (Fig. 1a). When the inclusion is considerably weaker than the matrix, a crack growth may appear along one plane running through the inclusion and the surrounding aterial (Fig. 1b), provided that the strength of the interface bonds is sufficiently high. If this condition is not satisfied, the crack will undergo a bifurcation, where the main crack is accompanied by a debonding of the inclusion from the surrounding material (Fig. 1c). Abstract Keywords: cohesive model; void nucleation; material failure; fracture mechanics 1. Introduction 1. Introduction

* Corresponding author. Tel.: +4-841-342-4711; fax: 4-841-342-4295. E-mail address: jgalka@tu.kielce.pl

2452-3216 © 2019 The Author(s). Published by Elsevier B.V. Peer- review under responsibility of the 6th International Conference “Fracture Mechanics of Materials and Structural Integrity” organizers 2452-3216 © 2019 The Author(s). Published by Elsevier B.V. Peer- review under responsibility of the 6th International Conference “Fracture Mechanics of Materials and Structural Integrity” organizers * Corresponding author. Tel.: +4-841-342-4711; fax: 4-841-342-4295. E-mail address: jgalka@tu.kielce.pl

2452-3216  2019 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the 6th International Conference “Fracture Mechanics of Materials and Structural Integrity” organizers. 10.1016/j.prostr.2019.07.019