About: Nonsmooth and set-valued analysis in mechanics and thermomechanics

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Projekt, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=IAA100750802
Description	Nonsmooth and set-valued analysis represent powerful mathematical tools which make possible to build and to treat complex models. This includes solvability of problems, stability and sensitivity of their solutions with respect to model data, their dependence on possible control variables, and numerical solution. In the proposed project, we plan to apply these tools to six closely related problem areas. Specifically, we will be dealing with rate-independent processes, anisothermal processes, generalized equations with nonpolyhedral multifunctions, various types of contact problems (static and dynamic) and free boundary problems. The planned research encompasses both answers to deep theoretical questions (e.g. investigation of thermally coupled plasticity) as well as the development of new numerical techniques and solution of difficult non-academic test problems (e.g. shape optimization in contact problems with Coulomb friction with a solution-dependent coefficient of friction). (en) Metody nehladké a mnohoznačné analýzy představují účinný matematický nástroj ke konstrukci a zpracování složitých modelů. Tím rozumíme zejména otázku existence řešení, stabilitu a citlivost řešení v závislosti na vstupních parametrech, závislost řešení na případné řídící veličině a numerické řešení diskretizovaných problémů. V navrhovaném projektu plánujeme použít tento nástroj v šesti úzce příbuzných oblastech. Jde o rychlostně nezávislé procesy, neizotermální procesy, zobecněné rovnice(variační nerovnice) s nepolyhedrálními multifunkcemi, různé typy kontaktních úloh (statické i dynamické) a úlohy s volnou hranicí. Plánovaný výzkum se týká jak čistě teoretických otázek (např. studium neizotermální plasticity), tak i vývoje numerických metod a řešení složitých neakademických testovacích úloh (např. tvarová optimalizace v kontaktních úlohách s coulombovským třením, v nichž koeficient tření závisí na řešení).
Title	Nonsmooth and set-valued analysis in mechanics and thermomechanics (en) Metody nehladké a mnohoznačné analýzy v mechanice a termomechanice
skos:notation	IAA100750802
http://linked.open...avai/cep/aktivita	Grants of distinctly investigative character focused on the sphere of research pursued at present particularly in the Academy of Sciences of the Czech Republic
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/IAA100750802/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/IAA100750802/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2013-06-28 (xsd:date)
http://linked.open...i/cep/druhSouteze	VS - Veřejná soutěž ve výzkumu a vývoji
http://linked.open...ep/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open.../cep/fazeProjektu	91835588
http://linked.open...ai/cep/hlavniObor	BA - Obecná matematika
http://linked.open...hodnoceniProjektu	V - Vynikající výsledky (s mezinárodním významem apod.). Zároveň byly splněny cíle a předpokládané výsledky uvedené ve smlouvě / rozhodnutí o poskytnutí podpory.
http://linked.open...vai/cep/kategorie	ZV - Základní výzkum
http://linked.open.../cep/klicovaSlova	contact problems; free-boundary problems; nonsmooth and set-valued maps; nonsmooth optimization; rate-independent processes; non-isothermal processes; variational inequalities (en)
http://linked.open...ep/partnetrHlavni	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...inujicichPrijemcu	1 (xsd:int)
http://linked.open...cep/pocetPrijemcu	3 (xsd:int)
http://linked.open...ocetSpoluPrijemcu	0 (xsd:int)
http://linked.open.../pocetVysledkuRIV	64 (xsd:int)
http://linked.open...enychVysledkuVRIV	64 (xsd:int)
http://linked.open...lneniVMinulemRoce	2011-03-18 (xsd:date)
http://linked.open.../prideleniPodpory	http://linked.opendata.cz/resource/domain/vavai/cep/prideleniPodpory/IAA100750802
http://linked.open...iciPoslednihoRoku	2011
http://linked.open...atUdajeProjZameru	2012
http://linked.open.../vavai/cep/soutez	SAV02008-A
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open...ep/ukonceniReseni	2011-12-31 (xsd:date)
http://linked.open...ep/zahajeniReseni	2008-01-01 (xsd:date)
http://linked.open...jektu+dodavatelem	Rozvinutím nástrojů variační analýzy byly získány nové výsledky a odvozeny nové numerické metody pro složité problémy v řadě příbuzných oblastí nehladké mechaniky a termomechaniky. Přitom se podařilo obohatit i teoretické základy variační analýzy. (cs) By applying tools of variational analysis new results and new numerical methods were obtained for problems in a number of related areas of nonsmooth mechanics and thermomechanics. At the same time, foundations of nonsmooth analysis were enriched. (en)
http://linked.open...tniCyklusProjektu	ZBBKU
http://linked.open.../cep/klicoveSlovo	contact problems free-boundary problems non-isothermal processes nonsmooth and set-valued maps nonsmooth optimization rate-independent processes
is http://linked.open...vavai/riv/projekt of	Multidisciplinary Free Material Optimization Tvarová optimalizace pro 3D kontaktní úlohu s Coulombovým třením Bifurcation in contact problems with local Coulomb friction Semi-smooth Newton method for solving unilateral problems in fictitious domain formulation Shape optimization of systems governed by Bernoulli free boundary problems Rate-independent processes in viscous solids at small strains Adhesive contact delaminating at mixed mode, its thermodynamics and analysis A quasistatic mixed-mode delamination model A macroscopic model for magnetic shape-memory single crystals Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics Fictitious domain formulations of unilateral problems: analysis and algorithms Fictitious domain method for linear elasticity Complete damage in elastic and viscoelastic media and its energetics Thermodynamics of shape-memory alloys under electric current A thermodynamically-consistent theory of the ferro/paramagnetic transition On the Coderivative of the Projection Operator onto the Second-order Cone Exact penalty results for mathematical programs with vanishing constraints Error Bounds: Necessary and Sufficient Conditions A note on the relation between strong and M-stationarity for a class of mathematical programs with equilibrium constraints Crystal plasticity model of shear and kink bands-energetic approach Variational model of martensitic thin films and its numerical treatment Instability origin of subgrain formation in plastically deformed materials A new fictitious domain approach inspired by the extended finite element method Energetic Formulation of Nonlocal Crystal Plasticity Energetic Approach to Gradient Plasticity BEM implementation of energetic solutions for quasistatic delamination problems FERROMAGNETS WITH EDDY CURRENTS AND PINNING EFFECTS: THEIR THERMODYNAMICS AND ANALYSIS Indentation of an Elastic Half-space by a Rigid Flat Punch as a Model Problem for Analysing Contact Problems with Coulomb Friction On Optimality Conditions in Control of Elliptic Variational Inequalities On certain convex compatifications for relaxation in evolution problems On the Aubin Property of Critical Points to Perturbed Second-Order Cone Programs On Optimality Conditions in Control of Elliptic Variational Inequalities Unilateral dynamic contact problem for viscoelastic Reissner-Mindlin plates Micro-to-meso scale limit for shape-memory-alloy models with thermal coupling On a fictitious domain method for unilateral problems On the shape derivative for problems of Bernoulli type SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION Shape optimization for Navier-Stokes equations with algebraic turbulence model: numerical analysis and computation Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion Thermodynamics and analysis of rate-independent adhesive contact at small strains RATE-INDEPENDENT PROCESSES WITH LINEAR GROWTH ENERGIES AND TIME-DEPENDENT BOUNDARY CONDITIONS Shape Optimization in 2D Contact Problems with Given Friction and a Solution-Dependent Coefficient of Friction Some Remarks on Stability of Generalized Equations Thermodynamics of perfect plasticity Thermodynamically consistent mesoscopic model of the ferro/paramagnetic transition A model of shape memory alloys taking into account plasticity An efficient approach to the numerical solution of rate-independent problems with nonconvex energies Finite element approximation for time-dependent diffusion with measure-valued source Solving stress constrained problems in topology and material optimization Modelling of Wheat-Flour Dough Mixing as an Open-Loop Hysteretic Process A Nonlinear Domain Decomposition Technique for Scalar Elliptic PDEs Quasistatic delamination models for Kirchhoff-Love plates On an extension of the space of bounded deformations On regular coderivatives in parametric equilibria with non-unique multipliers Normal compliance contact models with finite interpenetration Numerical Approaches to Thermally Coupled Perfect Plasticity Nonlinearly coupled thermo-visco-elasticity On the dynamic contact problem for a von Kármán plate

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