By Alessandro Franci
This booklet treats the derivation and implementation of a unified particle finite aspect formula for the answer of fluid and sturdy mechanics, Fluid-Structure interplay (FSI) and paired thermal problems.
FSI difficulties are keen on many engineering branches, from aeronautics to civil and biomedical engineering. The numerical procedure proposed during this ebook has been designed to accommodate a wide a part of those. specifically, it truly is in a position to simulating competently free-surface fluids interacting with buildings that can suffer huge displacements, be afflicted by thermo-plastic deformations or even soften. the tactic accuracy has been effectively proven in different numerical examples. The thesis additionally includes the appliance of the proposed numerical method for the simulation of a true business problem.
This thesis, defended on the Universitat Politecnica de Catalunya in 2015, used to be chosen (ex aequo) because the most sensible PhD thesis in numerical tools in Spain for the 12 months 2015 through the Spanish Society of Numerical equipment in Engineering (SEMNI).
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Extra info for Unified Lagrangian Formulation for Fluid and Solid Mechanics, Fluid-Structure Interaction and Coupled Thermal Problems Using the PFEM
Nevertheless, for large deformations the hypoelastic laws do not guarantee that the work done in a closed deformation path is zero . However this error can be considered negligible if the elastic deformations are small with respect to the total deformations . For this reason the hypoelastic laws are often used for describing the elastic part of elastic-plastic materials: the plastic deformations in fact represent usually the largest part of the overall deformations. 83) where cσ J is the Jaumann’s tangent moduli tensor.
10) t f Iext i where f dyn , f int and f ext are the dynamic, internal and external forces, respectively, expressed in the UL framework. For convenience, the semi-discretized form of the momentum equations in the total Lagrangian (TL) framework is also presented here. 11) 0 TL f Iext i where P is the first Piola–Kirchhoff stress tensor, or the nominal stress tensor, and T L dyn T L int f , f and T L f ext are the dynamic, internal and external forces, respectively, expressed in the TL framework.
99)). The uncoupled mixed Velocity–Pressure formulation is totally equivalent to the velocity formulation. In fact, although the pressures are still computed by solving the continuity equation, they do not appear in the momentum equations and, hence, they do not affect the solution for each the time step. 3 Theory of Plasticity The theory of plasticity is dedicated to those solids that, after being subjected to a loading process, may sustain permanent (plastic) deformations when completely unloaded .