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Applied Sciences
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Application of Finite Element Analysis in Fracture Mechanics
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Application of Finite Element Analysis in Fracture Mechanics

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: 31 May 2026 | Viewed by 3138

Special Issue Editors

Dr. Elad Priel

E-Mail Website
Guest Editor
Mechanical Engineering Department, Shamoon Collage of Engineering, Be'er Sheva 84100, Israel
Interests: computational mechanics; fracture mechanics; biomechanics
Special Issues, Collections and Topics in MDPI journals
Dr. Brigit Mittelman

E-Mail Website
Guest Editor
Department of Materials, Nuclear Research Center Negev (NRCN), Be'er Sheva 84190, Israel
Interests: plastic deformation; fracture mechanics; computational mechanics; metal forming
Dr. Alberto Campagnolo

E-Mail Website
Guest Editor
Department of Industrial Engineering, University of Padova, Padova, Italy
Interests: fatigue of weldments; weldment strength; fatigue of dissimilar material weldments; multiaxial fatigue of weldments; local approaches for fatigue of weldments
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Predicting the catastrophic failure of engineering components due to crack initiation or propagation has long been an active research topic. For real-life components, analytical methods for estimating the conditions for fracture initiation (critical load and crack orientation) are generally insufficient. As a result, numerical methods such as the finite element method are commonly used.

This Special Issue is dedicated to studies that utilize the finite element method to study the failure initiation and propagation stages. Manuscripts describing failure modeling due to cracking in all structural materials, including metallic, polymer, composites, ceramics, and glasses, are welcome. Studies focusing on new failure criteria or providing insights on classical failure criteria are especially encouraged.

Studies should generally include verification and validation of numerical models. Studies which only report on experimental results will not be considered.

Dr. Elad Priel
Dr. Brigit Mittelman
Dr. Alberto Campagnolo
Guest Editors

Manuscript Submission Information

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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • computational fracture mechanics
  • classical fracture mechanics
  • generalized fracture mechanics
  • crack initiation
  • crack propagation
  • stress intensity factor
  • energy release rate
  • J-integral
  • cohesive zone modeling

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Published Papers (2 papers)

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Research

14 pages, 2213 KB  
Article
Resolvin E1, Resolvin D1 and Carvacrol in Rotator Cuff Tears: Pro-Resolving and Antioxidant Mechanisms with Implications for Tendon-to-Bone Healing
by Recep Taskin, Fatih Ugur, Mehmet Ali Sabir and Murat Topal
Appl. Sci. 2026, 16(4), 1974; https://doi.org/10.3390/app16041974 - 17 Feb 2026
Viewed by 321
Abstract
Background: This study aimed to investigate the potential biomechanical implications of biologically motivated modulation scenarios—Resolvin E1 (RvE1), Resolvin D1 (RvD1) and carvacrol—in the context of rotator cuff tears by using a reduced finite element (FE) modeling approach. The primary objective was to compare [...] Read more.
Background: This study aimed to investigate the potential biomechanical implications of biologically motivated modulation scenarios—Resolvin E1 (RvE1), Resolvin D1 (RvD1) and carvacrol—in the context of rotator cuff tears by using a reduced finite element (FE) modeling approach. The primary objective was to compare stress distribution and deformation behavior at the tendon–bone interface under standardized loading scenarios. Materials and Methods: A three-dimensional reduced FE model of the shoulder, including the scapula and proximal humerus, was constructed based on computed tomography data. A rotator cuff tear was represented at the tendon footprint on the greater tuberosity. Standardized boundary scenarios and loading vectors were applied. Three conceptual biological modulation scenarios (RvE1, RvD1, and carvacrol) were evaluated and compared with a baseline model representing a rotator cuff tear under identical geometric, material, boundary, and loading scenarios, without any biologically motivated modulation. Von Mises stress distribution at the greater tuberosity and tendon footprint, as well as maximum displacement of the proximal humerus, were analyzed descriptively and comparatively. Results: Compared with baseline scenarios, the RvE1 and RvD1 scenarios demonstrated reduced peak von Mises stress at the tendon footprint and lower overall humeral displacement. Peak footprint stress decreased from 10.8 MPa in the baseline model to 7.9 MPa (−26.9%) in the RvE1 scenario and to 8.6 MPa (−20.4%) in the RvD1 scenario. Similarly, maximum humeral displacement was reduced from 4.6 mm at baseline to 3.4 mm (−26.1%) with RvE1 and to 3.9 mm (−15.2%) with RvD1. In contrast, the carvacrol scenario exhibited increased localized stress concentration at the tendon footprint (12.4 MPa; +14.8%) and greater maximum displacement (5.8 mm; +26.1%). Conclusions: The findings suggested that modulation scenarios associated with specialized pro-resolving mediators (SPMs) were aligned with a more favorable mechanical environment at the tendon–bone interface compared with baseline scenarios, whereas the carvacrol scenario demonstrated less favorable biomechanical behavior under the modeled assumptions. Although the biological effects were represented conceptually and the results were interpreted as relative trends, this study highlighted the potential importance of resolution-oriented pathways in influencing tendon-to-bone biomechanics and supported further experimental and translational investigations in rotator cuff repair. Full article
(This article belongs to the Special Issue Application of Finite Element Analysis in Fracture Mechanics)
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18 pages, 3876 KB  
Article
Investigation of the Stress Intensity Factor in Heterogeneous Materials Based on the Postprocessing Routine of Commercial Finite Element Software
by Fengnan Guo, Yiming Li, Yufu Chen, Pengfei Liu and Xiaodong Wang
Appl. Sci. 2025, 15(11), 5827; https://doi.org/10.3390/app15115827 - 22 May 2025
Cited by 3 | Viewed by 2188
Abstract
An improved interaction integral method has been proposed for heterogeneous materials with complex interfaces based on the postprocessing routine of commercial finite element software. This approach introduces a suitably designed auxiliary field to eliminate the derivative terms of material parameters in the interaction [...] Read more.
An improved interaction integral method has been proposed for heterogeneous materials with complex interfaces based on the postprocessing routine of commercial finite element software. This approach introduces a suitably designed auxiliary field to eliminate the derivative terms of material parameters in the interaction integral, which enables the direct extraction of the stress intensity factor at the crack tip without considering the material interfaces. This paper utilizes the postprocessing routine of commercial finite element software to extract the simulation results from the specified analysis step to obtain the stress intensity factor. Validation via homogeneous material cases shows excellent agreement with the theoretical solutions. For two-dimensional/three-dimensional heterogeneous materials, the domain-independence of the present method still stands, even when the integral domain intersects interfaces. This new method improves the efficiency of parameter extraction and extends the scope of application of commercial finite element software for calculating the fracture parameters of heterogeneous materials. Full article
(This article belongs to the Special Issue Application of Finite Element Analysis in Fracture Mechanics)
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