Academic literature on the topic 'Peridynamics Damage Model'

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Journal articles on the topic "Peridynamics Damage Model"

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Mikeš, Karel, Milan Jirásek, Jan Zeman, Ondřej Rokoš, and Ron H. J. Peerlings. "LOCALIZATION ANALYSIS OF DAMAGE FOR ONE-DIMENSIONAL PERIDYNAMIC MODEL." Acta Polytechnica CTU Proceedings 30 (April 22, 2021): 47–52. http://dx.doi.org/10.14311/app.2021.30.0047.

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Peridynamics is a recently developed extension of continuum mechanics, which replaces the traditional concept of stress by force interactions between material points at a finite distance. The peridynamic continuum is thus intrinsically nonlocal. In this contribution, a bond-based peridynamic model with elastic-brittle interactions is considered and the critical strain is defined for each bond as a function of its length. Various forms of length functions are employed to achieve a variety of macroscopic responses. A detailed study of three different localization mechanisms is performed for a on
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Shen, Feng, Qing Zhang, and Dan Huang. "Damage and Failure Process of Concrete Structure under Uniaxial Compression Based on Peridynamics Modeling." Mathematical Problems in Engineering 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/631074.

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Peridynamics is a nonlocal formulation of continuum mechanics, which uses integral formulation rather than the spatial partial differential equations. The peridynamic approach avoids using any spatial derivatives, which arise naturally in the classical local theory. It has shown effectiveness and advantage in solving discontinuous problems at both macro- and microscales. In this paper, the peridynamic theory is used to analyze damage and progressive failure of concrete structures. A nonlocal peridynamic model for concrete columns under uniaxial compression is developed. Numerical example illus
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Altenbach, Holm, Oleksiy Larin, Konstantin Naumenko, Olha Sukhanova, and Mathias Würkner. "Elastic plate under low velocity impact: Classical continuum mechanics vs peridynamics analysis." AIMS Materials Science 9, no. 5 (2022): 702–18. http://dx.doi.org/10.3934/matersci.2022043.

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<abstract><p>The aim of this paper is to compare the classical continuum mechanics and the peridynamic models in the structural analysis of a monolithic glass plate subjected to ball drop. Governing equations are recalled in order to highlight the differences and basic features of both approaches. In this study the behavior of glass is assumed to be linear-elastic and damage processes are ignored. The generalized Hooke's law is assumed within the classical theory, while the linear peridynamic solid constitutive model is applied within the peridynamic analysis. Mechanical models for
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Shen, Feng, Zihan Chen, Jia Zheng, and Qing Zhang. "Numerical Simulation of Failure Behavior of Reinforced Concrete Shear Walls by a Micropolar Peridynamic Model." Materials 16, no. 8 (2023): 3199. http://dx.doi.org/10.3390/ma16083199.

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A reinforced concrete shear wall is an important building structure. Once damage occurs, it not only causes great losses to various properties but also seriously endangers people’s lives. It is difficult to achieve an accurate description of the damage process using the traditional numerical calculation method, which is based on the continuous medium theory. Its bottleneck lies in the crack-induced discontinuity, whereas the adopted numerical analysis method has the continuity requirement. The peridynamic theory can solve discontinuity problems and analyze material damage processes during crac
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Yakin, H. N., M. R. M. Rejab, Nur Hashim, and N. Nikabdullah. "A new quasi-brittle damage model implemented under quasi-static condition using bond-based peridynamics theory for progressive failure." Theoretical and Applied Mechanics, no. 00 (2023): 6. http://dx.doi.org/10.2298/tam230404006y.

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A novel quasi-brittle damage model implemented under quasistatic loading condition using bond-based peridynamics theory for progressive failure is proposed to better predict damage initiation and propagation in solid materials. Since peridynamics equation of motion was invented in dynamic configuration, this paper applies the adaptive dynamic relaxation equation to achieve steady-state in peridynamics formulation. To accurately characterise the progressive failure process in cohesive materials, we incorporate the dynamic equation with the novel damage model for quasi-brittle materials. Computa
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Roy, Pranesh, and Debasish Roy. "Peridynamics model for flexoelectricity and damage." Applied Mathematical Modelling 68 (April 2019): 82–112. http://dx.doi.org/10.1016/j.apm.2018.11.013.

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Ren, Huilong, Xiaoying Zhuang, and Timon Rabczuk. "A new peridynamic formulation with shear deformation for elastic solid." Journal of Micromechanics and Molecular Physics 01, no. 02 (2016): 1650009. http://dx.doi.org/10.1142/s2424913016500090.

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We propose a new peridynamic formulation with shear deformation for linear elastic solid. The key idea lies in subtracting the rigid body rotation part from the total deformation. Based on the strain energy equivalence between classic local model and non-local model, the bond force vector is derived. A new damage rule of maximal deviatoric bond strain for elastic brittle fracture is proposed in order to account for both the tensile damage and shear damage. 2D and 3D numerical examples are tested to verify the accuracy of the current peridynamics. The new damage rule is applied to simulate the
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Han, Junzhao, Guozhong Wang, Xiaoyu Zhao, Rong Chen, and Wenhua Chen. "Modeling of Multiple Fatigue Cracks for the Aircraft Wing Corner Box Based on Non-Ordinary State-Based Peridynamics." Metals 12, no. 8 (2022): 1286. http://dx.doi.org/10.3390/met12081286.

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In the current research, we propose a novel non-ordinary state-based peridynamics (PD) fatigue model for multiple cracks’ initiation and growth under tension–tension fatigue load. In each loading cycle, the fatigue loading is redistributed throughout the peridynamic solid body, leading to progressive fatigue damage formation and expansion in an autonomous fashion. The proposed fatigue model parameters are first verified by a 3D numerical solution, and then, the novel model is used to depict the widespread fatigue damage evolution of the aircraft wing corner box. The modified constitutive damag
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Roy, Pranesh, Anil Pathrikar, S. P. Deepu, and Debasish Roy. "Peridynamics damage model through phase field theory." International Journal of Mechanical Sciences 128-129 (August 2017): 181–93. http://dx.doi.org/10.1016/j.ijmecsci.2017.04.016.

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Vazic, Bozo, Erkan Oterkus, and Selda Oterkus. "Peridynamic Model for a Mindlin Plate Resting on a Winkler Elastic Foundation." Journal of Peridynamics and Nonlocal Modeling 2, no. 3 (2020): 229–42. http://dx.doi.org/10.1007/s42102-019-00019-5.

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AbstractIn this study, a peridynamic model is presented for a Mindlin plate resting on a Winkler elastic foundation. In order to achieve static and quasi-static loading conditions, direct solution of the peridynamic equations is utilised by directly assigning inertia terms to zero rather than using widely adapted adaptive dynamic relaxation approach. The formulation is verified by comparing against a finite element solution for transverse loading condition without considering damage and comparing against a previous study for pure bending of a Mindlin plate with a central crack made of polymeth
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Dissertations / Theses on the topic "Peridynamics Damage Model"

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Deepu, S. P. "Non-Local Continuum Models for Damage in Solids and Delamination of Composites." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4206.

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The focus of the thesis is on developing new damage models for brittle materials and using these to study delamination of composite structures. Chapter 1 gives an introductory literature review in order to motivate the work undertaken in the chapters to follow. Chapter 2 deals with a new micropolar damage model for delamination in composites. By combining phase field theory and peridynamics, Chapter 3 develops a new formalism to study damage in brittle materials under dynamic loading. Chapter 4 exploits and extends this idea for modelling delamination of composites. An extended chapter-wise su
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Rahaman, Md Masiur. "Dynamic Flow Rules in Continuum Visco-plasticity and Damage Models for Poly-crystalline Solids." Thesis, 2017. http://etd.iisc.ac.in/handle/2005/4240.

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Modelling highly non-linear, strongly temperature- and rate-dependent visco-plastic behaviour of poly-crystalline solids (e.g., metals and metallic alloys) is one of the most challenging topics of contemporary research interest, mainly owing to the increasing use of metallic structures in engineering applications. Numerous classical models have been developed to model the visco-plastic behaviour of poly-crystalline solids. However, limitations of classical visco-plasticity models have been realized mainly in two cases: in problems at the scale of mesoscopic length (typically in the range of a
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Pathrikar, Anil. "Nonlocal continuum models for plasticity and damage." Thesis, 2021. https://etd.iisc.ac.in/handle/2005/5719.

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Nonlocal interactions of material points play a vital role in modelling certain important aspects of inelastic phenomena such as plasticity and damage in solids. For plasticity problems, nonlocal interactions allow characterizations of size-dependence and energetic hardening. In the case of damage, nonlocality describes energetically favourable conditions for propagation as well as branching of cracks. The nonlocal description of inelastic phenomenon introduces certain internal length scales representative of the material micro-structure. A geometric perspective of the kinematics of inelastic
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Book chapters on the topic "Peridynamics Damage Model"

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Zhang, Shangyuan, and Yufeng Nie. "Peridynamic Damage Model Based on Absolute Bond Elongation." In Computational Science – ICCS 2022. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08751-6_46.

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Roy, Pranesh, Anil Pathrikar, and Debasish Roy. "Phase field–based peridynamics damage model." In Peridynamic Modeling, Numerical Techniques, and Applications. Elsevier, 2021. http://dx.doi.org/10.1016/b978-0-12-820069-8.00004-4.

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Roy, Pranesh, Anil Pathrikar, and Debasish Roy. "Peridynamics damage model through phase field theory." In Peridynamic Modeling, Numerical Techniques, and Applications. Elsevier, 2021. http://dx.doi.org/10.1016/b978-0-12-820069-8.00007-x.

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"A Peridynamic Model for Corrosion Damage." In Handbook of Peridynamic Modeling. Chapman and Hall/CRC, 2016. http://dx.doi.org/10.1201/9781315373331-30.

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Conference papers on the topic "Peridynamics Damage Model"

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Kulkarni, Shank S., Alireza Tabarraei, and Xiaonan Wang. "Modeling the Creep Damage of P91 Steel Using Peridynamics." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10069.

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Abstract Creep is an important failure mechanism of metal components working at a high temperature. To ensure the structural integrity and safety of systems working at high temperature it is essential to predict failure due to creep. Classical continuum based damage models are used widely for modeling creep damage. A more recently developed non-local mechanics formulation called peridynamics has displayed better performance in modeling damage with respect to classical local mechanics methods. In this paper, the peridynamic formulation is extended to model creep in metals. We have chosen Liu-Mu
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Vasenkov, Alex V. "Stent Fracture Predictions With Peridynamics." In 2018 Design of Medical Devices Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/dmd2018-6866.

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Currently, stent therapy constitutes to over 95% of all endovascular interventions. The biological and clinical complications of stent therapy can now be well controlled with modern techniques and procedures. However, the mechanical failure of stent remains an important clinical problem [1]. While there is a consensus that such failure usually proceeds through mechanical fracture activation due to fatigue, the mechanisms of fracture activation are not well understood. The virtual analysis of fracture is typically conducted using the Finite Element Method (FEM) model regulated by the externally
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Littlewood, David J. "A Nonlocal Approach to Modeling Crack Nucleation in AA 7075-T651." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-64236.

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A critical stage in microstructurally small fatigue crack growth in AA 7075-T651 is the nucleation of cracks originating in constituent particles into the matrix material. Previous work has focused on a geometric approach to modeling microstructurally small fatigue crack growth in which damage metrics derived from an elastic-viscoplastic constitutive model are used to predict the nucleation event [1, 2]. While a geometric approach based on classical finite elements was successful in explicitly modeling the polycrystalline grain structure, singularities at the crack tip necessitated the use of
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Povolny, Stefan, Krishna Kiran Talamadupula, Naveen Prakash, and Gary D. Seidel. "Detecting “Hot-Spot” Damage in Granular Energetics Using a Thermo-electromechanical Peridynamics Model." In AIAA Scitech 2019 Forum. American Institute of Aeronautics and Astronautics, 2019. http://dx.doi.org/10.2514/6.2019-0962.

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Zhang, J. "An extended ordinary state-based peridynamics model for ductile fracture analysis." In Aerospace Science and Engineering. Materials Research Forum LLC, 2023. http://dx.doi.org/10.21741/9781644902677-43.

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Abstract. The present research establishes a two-step strategy to incorporate classical elastoplastic constitutive model into ordinary state-based peridynamics (OSB-PD) for ductile fracture analysis. Three length levels are notified, respectively, bond level, material particle level and bulk level. The unified Bodner-Partom theory is incorporated into the OSB-PD framework to define the bond-wise relationship between deformation state and force state. Particle-wise variables indicating plastic deformation state are extracted from connecting bonds to establish the unified ductile damage model at
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Yu, Yin, Su-Su Liu, Shu-Li Zhao, and Zhefeng Yu. "The Nonlinear Inplane Behavior and Progressive Damage Modeling for Laminate by Peridynamics." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65821.

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The modeling method of fiber-reinforced composites by state-based peridynamics was studied. The one-parameter nonlinear constitutive model was used to get the nonlinear relationship between force vector state and deformation vector state. Then the governing equation for laminate with nonlinear inplane behavior was built. A compensation modification method was also proposed to reduce the surface effects. A scalar function was introduced in the equation of force vector state in order to describe the damage. After the proposed compensation modification method was verified to reduce strain energy
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Bachimanchi, Pranitha, and Nilanjan Saha. "Peridynamic Analysis of Floating Ice Under Transverse Pressure." In ASME 2022 41st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/omae2022-80590.

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Abstract Offshore structures frequently interact with floating ice during its operational conditions in the arctic region. The structures are mainly designed in a slopping manner such that vertical loads are exerted, leading to out-of-plane failure of floating ice. In [1], the fracture pattern and failure process of ice floe with different dimensional conditions are studied through the classical approach. In the present study, a peridynamic approach has been adopted to analyze the fracture pattern of floating ice. Peridynamics [2] is a modified continuum mechanics that reformulates classical g
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Littlewood, David J., Kyran Mish, and Kendall Pierson. "Peridynamic Simulation of Damage Evolution for Structural Health Monitoring." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-86400.

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Modal-based methods for structural health monitoring require the identification of characteristic frequencies associated with a structure’s primary modes of failure. A major difficulty is the extraction of damage-related frequency shifts from the large set of often benign frequency shifts observed experimentally. In this study, we apply peridynamics in combination with modal analysis for the prediction of characteristic frequency shifts throughout the damage evolution process. Peridynamics, a nonlocal extension of continuum mechanics, is unique in its ability to capture progressive material da
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Baber, Forrest, Brian J. Zelinski, Ibrahim Guven, and Perry A. Gray. "Validation testing of a peridynamic impact damage model using NASA's Micro-Particle Gun." In Window and Dome Technologies and Materials XV, edited by Brian J. Zelinski. SPIE, 2017. http://dx.doi.org/10.1117/12.2272829.

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Zhang, Yuan, Chao Wang, Chunyu Guo, and Longbin Tao. "Peridynamic Analysis of Fragmentation of Ice Plate Under Explosive Loading With Thermal Effects." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18731.

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Abstract Along with the development in arctic region, the icebreaking technologies are gradually becoming the focus. As one of the most powerful and effective way to breaking ice, especially in the ability to solve ice jams, the study of the behaviour of the sea and river ice under dynamic loads is an urgent subject of scientific research and it attracts extensive attention. In addition, the temperature change in the process of ice failure cannot be neglected since that temperature plays an important role in the mechanical properties of the ice. In this study, a fully coupled thermoelastic ord
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