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Asymptotic methods for elastic structures [[electronic resource] ] : proceedings of the International Conference, Lisbon, Portugal, October 4-8, 1993 / / edited by Philippe G. Ciarlet, Luis Trabucho, Juan M. Viaño
| Asymptotic methods for elastic structures [[electronic resource] ] : proceedings of the International Conference, Lisbon, Portugal, October 4-8, 1993 / / edited by Philippe G. Ciarlet, Luis Trabucho, Juan M. Viaño |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1995 |
| Descrizione fisica | 1 online resource (291 p.) |
| Disciplina | 624.1/7 |
| Altri autori (Persone) |
CiarletPhilippe G
TrabuchoL <1953-> (Luís) ViañoJ. M <1955-> (Juan M.) |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Asymptotic expansions
Elastic analysis (Engineering) Structural analysis (Engineering) |
| Soggetto genere / forma | Electronic books. |
| ISBN | 3-11-087372-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- PREFACE -- CONTENTS -- NUMERICAL ANALYSIS OF THIN SHELL JUNCTIONS / BERNADOU, MICHEL -- A DOMAIN DECOMPOSITION METHOD FOR THE EIGENVALUE PROBLEM IN ELASTIC MULTISTRUCTURES / BOURQUIN, FRÉDÉRIC -- ELLIPTICITY OF BENDING AND MEMBRANE SHELL EQUATIONS / CIARLET, PHILIPPE G. / SANCHEZ-PALENCIA, EVARISTE -- CONTINUOUS UP-DATING OF A SHELL GEOMETRY IN A NONLINEAR ANALYSIS AND APPLICATIONS TO BUCKLING SIMULATION / ARREGUI, IÑIGO / DESTUYNDER, PHILIPPE / SALAUN, MICHEL -- A DOMAIN DECOMPOSITION METHOD FOR LINEAR AND NONLINEAR ELASTICITY PROBLEMS AND ITS IMPLEMENTATION ON KSR1 / ALVAREZ-DIO, J.A. / TALLEC, P. LE / VIDRASCU, M. -- EXACT CONTROLLABILITY, ASYMPTOTIC METHODS AND PLATES / FIGUEIREDO, ISABEL / ZUAZUA, ENRIQUE -- ERROR ESTIMATION FOR THE LINEAR THREE-DIMENSIONAL ELASTIC PLATE MODEL / DESTUYNDER, PHILIPPE / GRUAIS, ISABELLE -- FROM THREE-DIMENSIONAL ELASTICITY TO NONLINEAR MEMBRANES / LE DRET, HERVÉ / RAOULT, ANNIE -- SOME MORE REMARKS ON BOUNDARY VALUE PROBLEMS AND JUNCTIONS / LIONS, J. L. -- A NEW FORMULATION FOR ARCH STRUCTURES. APPLICATION TO OPTIMIZATION PROBLEMS / LODS, VERONIQUE -- HOMOGENIZATION PROBLEMS IN LOCALLY PERIODIC PERFORATED DOMAINS / MASCARENHAS, M. LUISA -- ASYMPTOTIC ANALYSIS OF NONLINEARLY ELASTIC MEMBRANE SHELLS / MIARA, B. -- EXISTENCE OF NON-TRIVIAL SOLUTIONS OF THE MARGUERRE-VON KÁRMÁN EQUATIONS AND MEMBRANE MODEL / RAO, BOPENG -- THE QUASICONVEX ENVELOPE OF THE SAINT VENANT-KIRCHHOFF STORED ENERGY FUNCTION / LE DRET, HERVÉ / RAOULT, ANNIE -- ASYMPTOTIC ANALYSIS OF POISSON'S EQUATION IN A THIN DOMAIN. APPLICATION TO THIN-WALLED ELASTIC BEAMS / RODRÍGUEZ, JOSÉ M. / VIAÑO, JUAN M. -- RIGIDIFICATION OF SHELLS BY EDGES / SANCHEZ-PALENCIA, E. -- A NEW FINITE ELEMENT FORMULATION FOR THE PLATE BENDING PROBLEM / STENBERG, ROLF -- SOME EXISTENCE RESULTS FOR CONTACT AND FRICTION PROBLEMS IN THERMOELASTICITY AND IN THERMOVISCOELASTICITY / FIGUEIREDO, I. / TRABUCHO, L. -- ASYMPTOTIC METHOD APPLIED TO A BEAM WITH A VARIABLE CROSS SECTION / VEIGA, M. F. -- ASYMPTOTIC GENERAL BENDING AND TORSION MODELS FOR THIN-WALLED ELASTIC RODS / RODRÍGUEZ, J.M. / VIAÑO, J.M. -- ASYMPTOTIC ANALYSIS OF A MULTIDIMENSIONAL PLATE-BEAM MODEL / CONCA, C. / ZUAZUA, E. -- List of Contributors -- List of Participants |
| Record Nr. | UNINA-9910462539103321 |
| Berlin ; ; New York, : Walter de Gruyter, 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic methods for elastic structures [[electronic resource] ] : proceedings of the International Conference, Lisbon, Portugal, October 4-8, 1993 / / edited by Philippe G. Ciarlet, Luis Trabucho, Juan M. Viaño
| Asymptotic methods for elastic structures [[electronic resource] ] : proceedings of the International Conference, Lisbon, Portugal, October 4-8, 1993 / / edited by Philippe G. Ciarlet, Luis Trabucho, Juan M. Viaño |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1995 |
| Descrizione fisica | 1 online resource (291 p.) |
| Disciplina | 624.1/7 |
| Altri autori (Persone) |
CiarletPhilippe G
TrabuchoL <1953-> (Luís) ViañoJ. M <1955-> (Juan M.) |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Asymptotic expansions
Elastic analysis (Engineering) Structural analysis (Engineering) |
| ISBN | 3-11-087372-9 |
| Classificazione | UF 3000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- PREFACE -- CONTENTS -- NUMERICAL ANALYSIS OF THIN SHELL JUNCTIONS / BERNADOU, MICHEL -- A DOMAIN DECOMPOSITION METHOD FOR THE EIGENVALUE PROBLEM IN ELASTIC MULTISTRUCTURES / BOURQUIN, FRÉDÉRIC -- ELLIPTICITY OF BENDING AND MEMBRANE SHELL EQUATIONS / CIARLET, PHILIPPE G. / SANCHEZ-PALENCIA, EVARISTE -- CONTINUOUS UP-DATING OF A SHELL GEOMETRY IN A NONLINEAR ANALYSIS AND APPLICATIONS TO BUCKLING SIMULATION / ARREGUI, IÑIGO / DESTUYNDER, PHILIPPE / SALAUN, MICHEL -- A DOMAIN DECOMPOSITION METHOD FOR LINEAR AND NONLINEAR ELASTICITY PROBLEMS AND ITS IMPLEMENTATION ON KSR1 / ALVAREZ-DIO, J.A. / TALLEC, P. LE / VIDRASCU, M. -- EXACT CONTROLLABILITY, ASYMPTOTIC METHODS AND PLATES / FIGUEIREDO, ISABEL / ZUAZUA, ENRIQUE -- ERROR ESTIMATION FOR THE LINEAR THREE-DIMENSIONAL ELASTIC PLATE MODEL / DESTUYNDER, PHILIPPE / GRUAIS, ISABELLE -- FROM THREE-DIMENSIONAL ELASTICITY TO NONLINEAR MEMBRANES / LE DRET, HERVÉ / RAOULT, ANNIE -- SOME MORE REMARKS ON BOUNDARY VALUE PROBLEMS AND JUNCTIONS / LIONS, J. L. -- A NEW FORMULATION FOR ARCH STRUCTURES. APPLICATION TO OPTIMIZATION PROBLEMS / LODS, VERONIQUE -- HOMOGENIZATION PROBLEMS IN LOCALLY PERIODIC PERFORATED DOMAINS / MASCARENHAS, M. LUISA -- ASYMPTOTIC ANALYSIS OF NONLINEARLY ELASTIC MEMBRANE SHELLS / MIARA, B. -- EXISTENCE OF NON-TRIVIAL SOLUTIONS OF THE MARGUERRE-VON KÁRMÁN EQUATIONS AND MEMBRANE MODEL / RAO, BOPENG -- THE QUASICONVEX ENVELOPE OF THE SAINT VENANT-KIRCHHOFF STORED ENERGY FUNCTION / LE DRET, HERVÉ / RAOULT, ANNIE -- ASYMPTOTIC ANALYSIS OF POISSON'S EQUATION IN A THIN DOMAIN. APPLICATION TO THIN-WALLED ELASTIC BEAMS / RODRÍGUEZ, JOSÉ M. / VIAÑO, JUAN M. -- RIGIDIFICATION OF SHELLS BY EDGES / SANCHEZ-PALENCIA, E. -- A NEW FINITE ELEMENT FORMULATION FOR THE PLATE BENDING PROBLEM / STENBERG, ROLF -- SOME EXISTENCE RESULTS FOR CONTACT AND FRICTION PROBLEMS IN THERMOELASTICITY AND IN THERMOVISCOELASTICITY / FIGUEIREDO, I. / TRABUCHO, L. -- ASYMPTOTIC METHOD APPLIED TO A BEAM WITH A VARIABLE CROSS SECTION / VEIGA, M. F. -- ASYMPTOTIC GENERAL BENDING AND TORSION MODELS FOR THIN-WALLED ELASTIC RODS / RODRÍGUEZ, J.M. / VIAÑO, J.M. -- ASYMPTOTIC ANALYSIS OF A MULTIDIMENSIONAL PLATE-BEAM MODEL / CONCA, C. / ZUAZUA, E. -- List of Contributors -- List of Participants |
| Record Nr. | UNINA-9910785837503321 |
| Berlin ; ; New York, : Walter de Gruyter, 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic methods for elastic structures : proceedings of the International Conference, Lisbon, Portugal, October 4-8, 1993 / / edited by Philippe G. Ciarlet, Luis Trabucho, Juan M. Viaño
| Asymptotic methods for elastic structures : proceedings of the International Conference, Lisbon, Portugal, October 4-8, 1993 / / edited by Philippe G. Ciarlet, Luis Trabucho, Juan M. Viaño |
| Edizione | [Reprint 2011] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 1995 |
| Descrizione fisica | 1 online resource (291 p.) |
| Disciplina | 624.1/7 |
| Altri autori (Persone) |
CiarletPhilippe G
TrabuchoL <1953-> (Luís) ViañoJ. M <1955-> (Juan M.) |
| Collana | De Gruyter Proceedings in Mathematics |
| Soggetto topico |
Asymptotic expansions
Elastic analysis (Engineering) Structural analysis (Engineering) |
| ISBN | 3-11-087372-9 |
| Classificazione | UF 3000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- PREFACE -- CONTENTS -- NUMERICAL ANALYSIS OF THIN SHELL JUNCTIONS / BERNADOU, MICHEL -- A DOMAIN DECOMPOSITION METHOD FOR THE EIGENVALUE PROBLEM IN ELASTIC MULTISTRUCTURES / BOURQUIN, FRÉDÉRIC -- ELLIPTICITY OF BENDING AND MEMBRANE SHELL EQUATIONS / CIARLET, PHILIPPE G. / SANCHEZ-PALENCIA, EVARISTE -- CONTINUOUS UP-DATING OF A SHELL GEOMETRY IN A NONLINEAR ANALYSIS AND APPLICATIONS TO BUCKLING SIMULATION / ARREGUI, IÑIGO / DESTUYNDER, PHILIPPE / SALAUN, MICHEL -- A DOMAIN DECOMPOSITION METHOD FOR LINEAR AND NONLINEAR ELASTICITY PROBLEMS AND ITS IMPLEMENTATION ON KSR1 / ALVAREZ-DIO, J.A. / TALLEC, P. LE / VIDRASCU, M. -- EXACT CONTROLLABILITY, ASYMPTOTIC METHODS AND PLATES / FIGUEIREDO, ISABEL / ZUAZUA, ENRIQUE -- ERROR ESTIMATION FOR THE LINEAR THREE-DIMENSIONAL ELASTIC PLATE MODEL / DESTUYNDER, PHILIPPE / GRUAIS, ISABELLE -- FROM THREE-DIMENSIONAL ELASTICITY TO NONLINEAR MEMBRANES / LE DRET, HERVÉ / RAOULT, ANNIE -- SOME MORE REMARKS ON BOUNDARY VALUE PROBLEMS AND JUNCTIONS / LIONS, J. L. -- A NEW FORMULATION FOR ARCH STRUCTURES. APPLICATION TO OPTIMIZATION PROBLEMS / LODS, VERONIQUE -- HOMOGENIZATION PROBLEMS IN LOCALLY PERIODIC PERFORATED DOMAINS / MASCARENHAS, M. LUISA -- ASYMPTOTIC ANALYSIS OF NONLINEARLY ELASTIC MEMBRANE SHELLS / MIARA, B. -- EXISTENCE OF NON-TRIVIAL SOLUTIONS OF THE MARGUERRE-VON KÁRMÁN EQUATIONS AND MEMBRANE MODEL / RAO, BOPENG -- THE QUASICONVEX ENVELOPE OF THE SAINT VENANT-KIRCHHOFF STORED ENERGY FUNCTION / LE DRET, HERVÉ / RAOULT, ANNIE -- ASYMPTOTIC ANALYSIS OF POISSON'S EQUATION IN A THIN DOMAIN. APPLICATION TO THIN-WALLED ELASTIC BEAMS / RODRÍGUEZ, JOSÉ M. / VIAÑO, JUAN M. -- RIGIDIFICATION OF SHELLS BY EDGES / SANCHEZ-PALENCIA, E. -- A NEW FINITE ELEMENT FORMULATION FOR THE PLATE BENDING PROBLEM / STENBERG, ROLF -- SOME EXISTENCE RESULTS FOR CONTACT AND FRICTION PROBLEMS IN THERMOELASTICITY AND IN THERMOVISCOELASTICITY / FIGUEIREDO, I. / TRABUCHO, L. -- ASYMPTOTIC METHOD APPLIED TO A BEAM WITH A VARIABLE CROSS SECTION / VEIGA, M. F. -- ASYMPTOTIC GENERAL BENDING AND TORSION MODELS FOR THIN-WALLED ELASTIC RODS / RODRÍGUEZ, J.M. / VIAÑO, J.M. -- ASYMPTOTIC ANALYSIS OF A MULTIDIMENSIONAL PLATE-BEAM MODEL / CONCA, C. / ZUAZUA, E. -- List of Contributors -- List of Participants |
| Record Nr. | UNINA-9910809815503321 |
| Berlin ; ; New York, : Walter de Gruyter, 1995 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Differential geometry : theory and applications / / editors, Philippe G. Ciarlet, Ta-Tsien Li
| Differential geometry : theory and applications / / editors, Philippe G. Ciarlet, Ta-Tsien Li |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Beijing, China, : Higher Education Press |
| Descrizione fisica | 1 online resource (300 p.) |
| Disciplina | 516.36 |
| Altri autori (Persone) |
CiarletPhilippe G
LiDaqian |
| Collana | Series in contemporary applied mathematics |
| Soggetto topico |
Geometry, Differential
Geometry |
| ISBN |
1-281-91177-1
9786611911775 981-277-147-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface; Contents; Philippe G. Ciarlet: An Introduction to Differential Geometry in R3; Introduction; 1 Three-dimensional differential geometry Outline; 1.1 Curvilinear coordinates; 1.2 Metric tensor; 1.3 Volumes, areas, and lengths in curvilinear coordinates; 1.4 Covariant derivatives of a vector field; 1.5 Necessary conditions satisfied by the metric tensor; the Riemann curvature tensor; 1.6 Existence of an immersion defined on an open set in R3 with a prescribed metric tensor; 1.7 Uniqueness up to isometries of immersions with the same metric tensor
1.8 Continuity of an immersion as a function of its metric tensor2 Differential geometry of surfaces Out line; 2.1 Curvilinear coordinates on a surface; 2.2 First fundamental form; 2.3 Areas and lengths on a surface; 2.4 Second fundamental form; curvature on a surface; 2.5 Principal curvatures; Gaussian curvature; 2.6 Covariant derivatives of a vector field defined on a surface; the Gauss and Weingarten formulas; 2.7 Necessary conditions satisfied by the first and second fundamental forms: the Gauss and Codazzi-Mainardi equations; Gauss' Theorema Ggregium 2.8 Existence of a surface with prescribed first and second fundamental forms2.9 Uniqueness up to proper isometries of surfaces with the same fundamental forms; 2.10 Continuity of a surface as a function of its fundamental forms; References; Philzppe G. Ciarlet, Cristinel Mardare: An Introduction to Shell Theory; Introduction; 1 Three-dimensional theory Outline; 1.1 Notation, definitions, and some basic formulas; 1.2 Equations of equilibrium; 1.3 Constitutive equations of elastic materials; 1.4 The equations of nonlinear and linearized three-dimensional elasticity 1.5 A fundamental lemma of J.L. Lions1.6 Existence theory in linearized three-dimensional elasticity; 1.7 Existence theory in nonlinear three-dimensional elasticity by the implicit function theorem; 1.8 Existence theory in nonlinear three-dimensional elasticity by the minimization of energy (John Ball's approach); 2 Two-dimensional theory Outline; 2.1 A quick review of the differential geometry of surfaces in R3; 2.2 Geometry of a shell; 2.3 The three-dimensional shell equations; 2.4 The two-dimensional approach to shell theory; 2.5 Nonlinear shell models obtained by r-convergence 2.6 Linear shell models obtained by asymptotic analysis2.7 The nonlinear Koiter shell model; 2.8 The linear Koiter shell model; 2.9 Korn's inequalities on a surface; 2.10 Existence, uniqueness, and regularity of the solution to the linear Koiter shell model; References; Dominique Chapelle: Some New Results and Current Challenges in the Finite Element Analysis of Shells; 1 Introduction; 2 Two families of shell finite elements; 2.1 Discretizations of classical shell models; 2.2 General shell elements; 3 Computational reliability issues for thin shells; 3.1 Asymptotic behaviours of shell models 3.2 Asymptotic reliability of shell finite elements |
| Record Nr. | UNINA-9910827585103321 |
| Beijing, China, : Higher Education Press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||