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Relevant bibliographies by topics / Nonlocal modelling of inelasticity in solids

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Academic literature on the topic 'Nonlocal modelling of inelasticity in solids'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Nonlocal modelling of inelasticity in solids"

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BOURGADE, JEAN-PIERRE. "A COUPLED SPHERICAL HARMONICS EXPANSION MODEL FOR CONFINED PARTICLES." Mathematical Models and Methods in Applied Sciences 14, no. 08 (2004): 1133–65. http://dx.doi.org/10.1142/s021820250400357x.

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Our goal in this paper is to derive from a kinetic setting a diffusion model for the transport of charged particles trapped in a surface potential. The so-obtained model is derived through a diffusion approximation, as we assume the thermalization to be governed by particle-wall collisions. In order to take into account the possible inelasticity of such collisions, we introduce a nonlocal (in energy) collision operator on the boundary. At the macroscopic scale, this results in a coupled (in energy) Spherical Harmonics Expansion (SHE) model. The model is both formally and rigorously derived fro

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Rabczuk, Timon. "Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives." ISRN Applied Mathematics 2013 (March 20, 2013): 1–38. http://dx.doi.org/10.1155/2013/849231.

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An overview of computational methods to model fracture in brittle and quasi-brittle materials is given. The overview focuses on continuum models for fracture. First, numerical difficulties related to modelling fracture for quasi-brittle materials will be discussed. Different techniques to eliminate or circumvent those difficulties will be described subsequently. In that context, regularization techniques such as nonlocal models, gradient enhanced models, viscous models, cohesive zone models, and smeared crack models will be discussed. The main focus of this paper will be on computational metho

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Shelke, Amit, Sourav Banerjee, Tribikram Kundu, Umar Amjad, and W. Grill. "Corrigendum to “Multi-scale damage state estimation in composites using nonlocal elastic kernel: An experimental validation” [Int. J. Solids Struct. 48 (2011) 1219–1228]." International Journal of Solids and Structures 48, no. 14-15 (2011): 2264. http://dx.doi.org/10.1016/j.ijsolstr.2011.03.016.

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Reusch, Frederick, Christian Hortig, and Bob Svendsen. "Nonlocal Modeling and Simulation of Ductile Damage and Failure in Metal Matrix Composites." Journal of Engineering Materials and Technology 130, no. 2 (2008). http://dx.doi.org/10.1115/1.2840967.

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The purpose of the current work is the application of a recent nonlocal extension (Reusch, F., Svendsen, B., and Klingbeil, D., 2003, “Local and Non-Local Gurson-Based Ductile Damage and Failure Modelling at Large Deformation,” Eur. J. Mech. A∕Solids, 22, pp. 779–792; “A Non-Local Extension of Gurson-Based Ductile Damage Modeling,” Comput. Mater. Sci., 26, pp. 219–229) of the Gurson–Needleman–Tvergaard (GTN) model (Needleman, A., and Tvergaard, V., 1984, “An Analysis of Ductile Rupture in Notched Bars,” J. Mech Phys. Solids, 32, pp. 461–490) to the simulation of ductile damage and failure proc

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Dissertations / Theses on the topic "Nonlocal modelling of inelasticity in solids"

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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 "Nonlocal modelling of inelasticity in solids"

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Aifantis, Elias C. "On the Structure of Single Slip and its Implications for Inelasticity." In Large Deformations of Solids: Physical Basis and Mathematical Modelling. Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-3407-8_17.

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