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Modeling and numerics of anisotropic and inelastic materials: plasticity, damage and growth
There has been tremendous technological progress, both in the manufacturing of ever more sophisticated materials and in the steadily increasing computational power. Thus, materials showing a pronounce kind of anisotropy -- initially and/or induced -- found their way into various fields of engineering applications. On the one hand, for example, fusion deposition modeling as used in 3D printing creates materials that behave anisotropically to increase load-bearing capacity. On the other hand, the power of modern computers enables numerical simulations that provide deeper insights into the underlying material behavior. However, in order to accurately predict material behavior while keeping the computational time cost relatively low, continuum mechanical models are needed that are capable of capturing a broad spectrum of anisotropy, in particular those anisotropic effects caused by various inelastic material behaviors. In this regard, almost all materials, regardless of whether they are non-living or living, undergo inelastic deformation at some point. May it be irreversible deformation, rate dependence, degradation up to failure or even growth of living organisms. Macroscopically, all of these phenomena can cause the material to behave anisotropically if it did not already do so initially. For instance, the material's stiffness might fail completely in one direction due to microcracks, while being less degraded in another direction. Further well-known inelastic effects might be caused by anisotropic yield criteria such as Hill's one, or even by kinematic (plastic strain) hardening. In addition, one of the currently most challenging topics in continuum mechanics is the modeling of (direction-dependent) growth of biological tissues. From a continuum mechanical point of view, all these phenomena are modeled based on two essential concepts: The multiplicative decomposition of the deformation gradient and structural tensors. Besides theoretical modeling, numerical implementation can be highly challenging as well and is ...
Modeling and numerics of anisotropic and inelastic materials: plasticity, damage and growth
There has been tremendous technological progress, both in the manufacturing of ever more sophisticated materials and in the steadily increasing computational power. Thus, materials showing a pronounce kind of anisotropy -- initially and/or induced -- found their way into various fields of engineering applications. On the one hand, for example, fusion deposition modeling as used in 3D printing creates materials that behave anisotropically to increase load-bearing capacity. On the other hand, the power of modern computers enables numerical simulations that provide deeper insights into the underlying material behavior. However, in order to accurately predict material behavior while keeping the computational time cost relatively low, continuum mechanical models are needed that are capable of capturing a broad spectrum of anisotropy, in particular those anisotropic effects caused by various inelastic material behaviors. In this regard, almost all materials, regardless of whether they are non-living or living, undergo inelastic deformation at some point. May it be irreversible deformation, rate dependence, degradation up to failure or even growth of living organisms. Macroscopically, all of these phenomena can cause the material to behave anisotropically if it did not already do so initially. For instance, the material's stiffness might fail completely in one direction due to microcracks, while being less degraded in another direction. Further well-known inelastic effects might be caused by anisotropic yield criteria such as Hill's one, or even by kinematic (plastic strain) hardening. In addition, one of the currently most challenging topics in continuum mechanics is the modeling of (direction-dependent) growth of biological tissues. From a continuum mechanical point of view, all these phenomena are modeled based on two essential concepts: The multiplicative decomposition of the deformation gradient and structural tensors. Besides theoretical modeling, numerical implementation can be highly challenging as well and is ...
Modeling and numerics of anisotropic and inelastic materials: plasticity, damage and growth
Holthusen, Hagen (author) / Reese, Stefanie / Kuhl, Ellen
2023-01-01
Aachen : RWTH Aachen University 1 Online-Ressource : Illustrationen, Diagramme (2023). doi:10.18154/RWTH-2023-07973 = Dissertation, Rheinisch-Westfälische Technische Hochschule Aachen, 2023
Theses
Electronic Resource
English
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