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Modelling
Special Issues
Modeling Dynamic Fracture of Materials
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Modeling Dynamic Fracture of Materials

A special issue of Modelling (ISSN 2673-3951).

Deadline for manuscript submissions: closed (31 July 2023) | Viewed by 10368

Special Issue Editor

Dr. Reza Abedi

E-Mail Website
Guest Editor
Department of Mechanical Aerospace and Biomedical Engineering, University of Tennessee Space Institute, Tullahoma, TN 37388, USA
Interests: spacetime discontinuous Galerkin; computational mechanics; fracture mechanics; computational electromagnetics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Fracture is a complex and nonlinear phenomenon involving multiple spatial and temporal scales. When dynamic fracture is considered, there are further challenges pertaining to modeling often complex fracture patterns, fragmentation analysis, rate dependency of response, and dynamic failure response of new material designs. For these reasons, this Special Issue of Modelling seeks contributions on modeling dynamic fracture of materials. Topics may include but are not limited to:  

  1. Fracture models that consider rate dependency and dynamic effects in the bulk (phase field and continuum damage models), interfaces (traction separation relations, linear elastic fracture mechanics, interfacial damage models), or particle-/bond-based models such as discrete element method and peridynamics. Studies that are pertain to dynamic response of the material, such as fragmentation analyses, are also welcomed;
  2. Stochastic fracture mechanics, for example, the analysis of the effect of distribution of defects on macroscopic response, fatigue, and failure size effect;
  3. Multiscale fracture modeling, for example, homogenization theories that consider material failure and multiscale models that link various atomistic and/or continuum models;
  4. Dynamic fracture and failure response of 3D printed materials, smart materials, metamaterials, biomaterials, rocks, ceramics, metals, polymers, etc.;
  5. Computational models (crack-tracking, peridynamics, bulk models, etc.), mesh adaptive, and parallel implementations and experimental/theoretical studies focused on dynamic fracture, contact, and friction response of materials.

Dr. Reza Abedi
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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. Modelling is an international peer-reviewed open access quarterly 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 1000 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

  • dynamic fracture
  • rate effect
  • multiscale modeling
  • fragmentation
  • fatigue
  • brittle fracture

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Published Papers (5 papers)

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Research

30 pages, 8922 KiB  
Article
Reduced-Dimension Surrogate Modeling to Characterize the Damage Tolerance of Composite/Metal Structures
by Corey Arndt, Cody Crusenberry, Bozhi Heng, Rochelle Butler and Stephanie TerMaath
Modelling 2023, 4(4), 485-514; https://doi.org/10.3390/modelling4040028 - 7 Nov 2023
Cited by 1 | Viewed by 1388
Abstract
Complex engineering models are typically computationally demanding and defined by a high-dimensional parameter space challenging the comprehensive exploration of parameter effects and design optimization. To overcome this curse of dimensionality and to minimize computational resource requirements, this research demonstrates a user-friendly approach to [...] Read more.
Complex engineering models are typically computationally demanding and defined by a high-dimensional parameter space challenging the comprehensive exploration of parameter effects and design optimization. To overcome this curse of dimensionality and to minimize computational resource requirements, this research demonstrates a user-friendly approach to formulating a reduced-dimension surrogate model that represents a high-dimensional, high-fidelity source model. This approach was developed specifically for a non-expert using commercially available tools. In this approach, the complex physical behavior of the high-fidelity source model is separated into individual, interacting physical behaviors. A separate reduced-dimension surrogate model is created for each behavior and then all are summed to formulate the reduced-dimension surrogate model representing the source model. In addition to a substantial reduction in computational resources and comparable accuracy, this method also provides a characterization of each individual behavior providing additional insight into the source model behavior. The approach encompasses experimental testing, finite element analysis, surrogate modeling, and sensitivity analysis and is demonstrated by formulating a reduced-dimension surrogate model for the damage tolerance of an aluminum plate reinforced with a co-cured bonded E-glass/epoxy composite laminate under four-point bending. It is concluded that this problem is difficult to characterize and breaking the problem into interacting mechanisms leads to improved information on influential parameters and efficient reduced-dimension surrogate modeling. The disbond damage at the interface between the resin and metal proved the most difficult mechanism for reduced-dimension surrogate modeling as it is only engaged in a small subspace of the full parameter space. A binary function was successful in engaging this damage mechanism when applicable based on the values of the most influential parameters. Full article
(This article belongs to the Special Issue Modeling Dynamic Fracture of Materials)
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14 pages, 26529 KiB  
Article
Investigating Ice Loads on Subsea Pipelines with Cohesive Zone Model in Abaqus
by Igor Gribanov, Rocky Taylor, Jan Thijssen and Mark Fuglem
Modelling 2023, 4(3), 394-407; https://doi.org/10.3390/modelling4030023 - 14 Sep 2023
Cited by 2 | Viewed by 1385
Abstract
Subsea pipelines and cables placed in ice-prone regions may be at risk of iceberg damage. In particular, pipes that are not buried may come in direct contact with iceberg keels. Knowing the range of interaction forces helps to assess the types and magnitudes [...] Read more.
Subsea pipelines and cables placed in ice-prone regions may be at risk of iceberg damage. In particular, pipes that are not buried may come in direct contact with iceberg keels. Knowing the range of interaction forces helps to assess the types and magnitudes of potential damage. Experimental studies provide the most valuable data about the interaction forces, while numerical modeling may give insight into configurations that are difficult to study experimentally. This work applies the cohesive zone model to investigate the fracture behavior of ice samples. Simulations are performed in 2D with Abaqus explicit solver. Modeled interaction forces from multiple simulations are recorded and compared to understand how the geometry of the samples affects the fracture. Repeat interactions with different grain configurations are conducted to investigate associated variance in fracture patterns and loads. t-tests show that the force application angle and the indenter’s position significantly affect the fracture force. Full article
(This article belongs to the Special Issue Modeling Dynamic Fracture of Materials)
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13 pages, 9533 KiB  
Article
Molecular Dynamics Simulations Correlating Mechanical Property Changes of Alumina with Atomic Voids under Triaxial Tension Loading
by Junhao Chang, Zengtao Chen and James D. Hogan
Modelling 2023, 4(2), 211-223; https://doi.org/10.3390/modelling4020012 - 5 May 2023
Cited by 2 | Viewed by 2043
Abstract
The functionalization of nanoporous ceramics for applications in healthcare and defence necessitates the study of the effects of geometric structures on their fundamental mechanical properties. However, there is a lack of research on their stiffness and fracture strength along diverse directions under multi-axial [...] Read more.
The functionalization of nanoporous ceramics for applications in healthcare and defence necessitates the study of the effects of geometric structures on their fundamental mechanical properties. However, there is a lack of research on their stiffness and fracture strength along diverse directions under multi-axial loading conditions, particularly with the existence of typical voids in the models. In this study, accurate atomic models and corresponding properties were meticulously selected and validated for further investigation. Comparisons were made between typical material geometric and elastic properties with measured results to ensure the reliability of the selected models. The mechanical behavior of nanoporous alumina under multiaxial stretching was explored through molecular dynamics simulations. The results indicated that the stiffness of nanoporous alumina ceramics under uniaxial tension was greater, while the fracture strength was lower compared to that under multiaxial loading. The fracture of nanoporous ceramics under multi-axial stretching, was mainly dominated by void and crack extension, atomic bond fracture, and cracking with different orientations. Furthermore, the effects of increasing strain rates on the void volume fraction were found to be similar across different initial radii. It was also found that the increasing tension loading rates had greater effects on decreasing the fracture strain. These findings provide additional insight into the fracture mechanisms of nanoporous ceramics under complex loading states, which can also contribute to the development of higher-scale models in the future. Full article
(This article belongs to the Special Issue Modeling Dynamic Fracture of Materials)
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15 pages, 7893 KiB  
Article
Hybrid Finite-Discrete Element Modeling of the Mode I Tensile Response of an Alumina Ceramic
by Jie Zheng, Haoyang Li and James D. Hogan
Modelling 2023, 4(1), 87-101; https://doi.org/10.3390/modelling4010007 - 13 Mar 2023
Cited by 1 | Viewed by 2611
Abstract
We have developed a three-dimensional hybrid finite-discrete element model to investigate the mode I tensile opening failure of alumina ceramic. This model implicitly considers the flaw system in the material and explicitly shows the macroscopic failure patterns. A single main crack perpendicular to [...] Read more.
We have developed a three-dimensional hybrid finite-discrete element model to investigate the mode I tensile opening failure of alumina ceramic. This model implicitly considers the flaw system in the material and explicitly shows the macroscopic failure patterns. A single main crack perpendicular to the loading direction is observed during the tensile loading simulation. Some fragments appear near the crack surfaces due to crack branching. The tensile strength obtained by our model is consistent with the experimental results from the literature. Once validated with the literature, the influences of the distribution of the flaw system on the tensile strength and elastic modulus are explored. The simulation results show that the material with more uniform flaw sizes and fewer big flaws has stronger tensile strength and higher elastic modulus. Full article
(This article belongs to the Special Issue Modeling Dynamic Fracture of Materials)
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18 pages, 1683 KiB  
Article
Empirical Modeling of Transverse Displacements of Single-Sided Transversely Cracked Prismatic Tension Beams
by Matjaž Skrinar
Modelling 2022, 3(4), 481-498; https://doi.org/10.3390/modelling3040031 - 16 Dec 2022
Viewed by 1567
Abstract
While the effects of axial compression on beams have long been known, the effect of tensile axial loads on one-sided transversely cracked beams is less known. The crack namely shifts the position of the resultant of the axial normal stresses deeper into the [...] Read more.
While the effects of axial compression on beams have long been known, the effect of tensile axial loads on one-sided transversely cracked beams is less known. The crack namely shifts the position of the resultant of the axial normal stresses deeper into the uncracked part of the cross-section, and the crack tends to open, causing a transverse displacement. Therefore, this paper focuses on empirical modeling of the considered phenomenon for slender prismatic beams in order to establish a suitable 1D computational model based on detailed 3D FE mesh results. This goal can be achieved through the already established simplified model, where the crack is represented by an internal hinge endowed with a rotational spring. Several analyses of various beams differing in geometry, crack locations, and boundary conditions were executed by implementing 3D FE meshes to establish the appropriate model’s bending governing differential equation. After that, the corresponding parameter definitions were calibrated from the database of 3D FE models. By redefining the model’s input parameters, a suitable solution is achieved, offering a good balance between the results’ accuracy and the required computational effort. The functionality of the newly obtained solutions was verified through some comparative case studies that supplement the derivations. Full article
(This article belongs to the Special Issue Modeling Dynamic Fracture of Materials)
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