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Calculus of Variations on Thin Prestressed Films : Asymptotic Methods in Elasticity / / by Marta Lewicka
| Calculus of Variations on Thin Prestressed Films : Asymptotic Methods in Elasticity / / by Marta Lewicka |
| Autore | Lewicka Marta |
| Edizione | [1st ed. 2023.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 |
| Descrizione fisica | 1 online resource (IX, 448 p. 20 illus., 16 illus. in color.) |
| Disciplina |
519.6
515.64 |
| Collana | Progress in Nonlinear Differential Equations and Their Applications |
| Soggetto topico |
Mathematical optimization
Calculus of variations Differential equations Surfaces (Technology) Thin films Geometry, Differential Calculus of Variations and Optimization Differential Equations Surfaces, Interfaces and Thin Film Differential Geometry Pel·lícules fines Elasticitat Models matemàtics Expansions asimptòtiques |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-17495-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Introduction -- Part I: Tools in Mathematical Analysis -- Γ-Convergence -- Korn's Inequality -- Friesecke-James-Müller’s Inequality -- Part II: Dimension Reduction in Classical Elasticity -- Limiting Theories for Elastic Plates and Shells: Nonlinear Bending -- Limiting Theories for Elastic Plates and Shells: Sublinear and Linear -- Linear Theories for Elastic Plates: Linearized Bending -- Infinite Hierarchy of Elastic Shell Models -- Limiting Theories on Elastic Elliptic Shells -- Limiting Theories on Elastic Developable Shells -- Part III: Dimension Reduction in Prestressed Elasticity -- Limiting Theories for Prestressed Films: Nonlinear Bending -- Limiting Theories for Prestressed Films: Von Kármán-like Theory -- Infinite Hierarchy of Limiting Theories for Prestressed Films -- Limiting Theories for Weakly Prestressed Films -- Terminology and Notation -- Index. . |
| Record Nr. | UNINA-9910698646203321 |
Lewicka Marta
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| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hybrid high-order methods : a primer with applications to solid mechanics / / Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
| Hybrid high-order methods : a primer with applications to solid mechanics / / Matteo Cicuttin, Alexandre Ern, Nicolas Pignet |
| Autore | Cicuttin Matteo |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (138 pages) |
| Disciplina | 531.382 |
| Collana | SpringerBriefs in mathematics |
| Soggetto topico |
Elasticity
Diffusion - Mathematical models Solid state physics Elasticitat Models matemàtics Física de l'estat sòlid |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-81477-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Getting Started: Linear Diffusion -- 1.1 Model Problem -- 1.2 Discrete Setting -- 1.2.1 The Mesh -- 1.2.2 Discrete Unknowns -- 1.3 Local Reconstruction and Stabilization -- 1.3.1 Local Reconstruction -- 1.3.2 Local Stabilization -- 1.3.3 Example: Lowest-Order Case -- 1.4 Assembly and Static Condensation -- 1.4.1 The Discrete Problem -- 1.4.2 Algebraic Realization -- 1.5 Flux Recovery and Embedding into HDG Methods -- 1.5.1 Flux Recovery -- 1.5.2 Embedding into HDG Methods -- 1.6 One-Dimensional Setting -- 2 Mathematical Aspects -- 2.1 Mesh Regularity and Basic Analysis Tools -- 2.1.1 Mesh Regularity -- 2.1.2 Functional and Discrete Inverse Inequalities -- 2.1.3 Polynomial Approximation -- 2.2 Stability -- 2.3 Consistency -- 2.4 H1-Error Estimate -- 2.5 Improved L2-Error Estimate -- 3 Some Variants -- 3.1 Variants on Gradient Reconstruction -- 3.2 Mixed-Order Variant and Application to Curved Boundaries -- 3.2.1 Mixed-Order Variant with Higher Cell Degree -- 3.2.2 Domains with a Curved Boundary -- 3.3 Finite Element and Virtual Element Viewpoints -- 4 Linear Elasticity and Hyperelasticity -- 4.1 Continuum Mechanics -- 4.1.1 Infinitesimal Deformations and Linear Elasticity -- 4.1.2 Finite Deformations and Hyperelasticity -- 4.2 HHO Methods for Linear Elasticity -- 4.2.1 Discrete Unknowns, Reconstruction, and Stabilization -- 4.2.2 Discrete Problem, Energy Minimization, and Traction Recovery -- 4.2.3 Stability and Error Analysis -- 4.3 HHO Methods for Hyperelasticity -- 4.3.1 The Stabilized HHO Method -- 4.3.2 The Unstabilized HHO Method -- 4.3.3 Nonlinear Solver and Static Condensation -- 4.4 Numerical Examples -- 5 Elastodynamics -- 5.1 Second-Order Formulation in Time -- 5.1.1 HHO Space Semi-discretization -- 5.1.2 Time Discretization -- 5.2 First-Order Formulation in Time -- 5.2.1 HHO Space Semi-discretization.
5.2.2 Time Discretization -- 5.3 Numerical Example -- 6 Contact and Friction -- 6.1 Model Problem -- 6.2 HHO-Nitsche Method -- 6.2.1 FEM-Nitsche Method -- 6.2.2 Discrete Setting for HHO-Nitsche -- 6.2.3 Stability and Error Analysis -- 6.3 Numerical Example -- 7 Plasticity -- 7.1 Plasticity Model -- 7.1.1 Kinematics and Additive Decomposition -- 7.1.2 Helmholtz Free Energy and Yield Function -- 7.1.3 Plasticity Problem in Incremental Form -- 7.2 HHO Discretizations -- 7.2.1 Discrete Unknowns -- 7.2.2 Discrete Plasticity Problem in Incremental Form -- 7.2.3 Nonlinear Solver -- 7.3 Numerical Examples -- 7.3.1 Torsion of a Square-Section Bar -- 7.3.2 Hydraulic Pump Under Internal Forces -- 8 Implementation Aspects -- 8.1 Polynomial Spaces -- 8.2 Algebraic Representation of the HHO Space -- 8.3 L2-Orthogonal Projections -- 8.3.1 Quadratures -- 8.3.2 Reduction Operator -- 8.4 Algebraic Realization of the Local HHO Operators -- 8.4.1 Local Reconstruction Operator -- 8.4.2 The Stabilization Operator -- 8.5 Assembly and Boundary Conditions -- 8.6 Remarks on the Computational Cost of HHO Methods -- Appendix References. |
| Record Nr. | UNINA-9910508430703321 |
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Cicuttin Matteo
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Hybrid high-order methods : a primer with applications to solid mechanics / / Matteo Cicuttin, Alexandre Ern, Nicolas Pignet
| Hybrid high-order methods : a primer with applications to solid mechanics / / Matteo Cicuttin, Alexandre Ern, Nicolas Pignet |
| Autore | Cicuttin Matteo |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (138 pages) |
| Disciplina | 531.382 |
| Collana | SpringerBriefs in mathematics |
| Soggetto topico |
Elasticity
Diffusion - Mathematical models Solid state physics Elasticitat Models matemàtics Física de l'estat sòlid |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-81477-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- 1 Getting Started: Linear Diffusion -- 1.1 Model Problem -- 1.2 Discrete Setting -- 1.2.1 The Mesh -- 1.2.2 Discrete Unknowns -- 1.3 Local Reconstruction and Stabilization -- 1.3.1 Local Reconstruction -- 1.3.2 Local Stabilization -- 1.3.3 Example: Lowest-Order Case -- 1.4 Assembly and Static Condensation -- 1.4.1 The Discrete Problem -- 1.4.2 Algebraic Realization -- 1.5 Flux Recovery and Embedding into HDG Methods -- 1.5.1 Flux Recovery -- 1.5.2 Embedding into HDG Methods -- 1.6 One-Dimensional Setting -- 2 Mathematical Aspects -- 2.1 Mesh Regularity and Basic Analysis Tools -- 2.1.1 Mesh Regularity -- 2.1.2 Functional and Discrete Inverse Inequalities -- 2.1.3 Polynomial Approximation -- 2.2 Stability -- 2.3 Consistency -- 2.4 H1-Error Estimate -- 2.5 Improved L2-Error Estimate -- 3 Some Variants -- 3.1 Variants on Gradient Reconstruction -- 3.2 Mixed-Order Variant and Application to Curved Boundaries -- 3.2.1 Mixed-Order Variant with Higher Cell Degree -- 3.2.2 Domains with a Curved Boundary -- 3.3 Finite Element and Virtual Element Viewpoints -- 4 Linear Elasticity and Hyperelasticity -- 4.1 Continuum Mechanics -- 4.1.1 Infinitesimal Deformations and Linear Elasticity -- 4.1.2 Finite Deformations and Hyperelasticity -- 4.2 HHO Methods for Linear Elasticity -- 4.2.1 Discrete Unknowns, Reconstruction, and Stabilization -- 4.2.2 Discrete Problem, Energy Minimization, and Traction Recovery -- 4.2.3 Stability and Error Analysis -- 4.3 HHO Methods for Hyperelasticity -- 4.3.1 The Stabilized HHO Method -- 4.3.2 The Unstabilized HHO Method -- 4.3.3 Nonlinear Solver and Static Condensation -- 4.4 Numerical Examples -- 5 Elastodynamics -- 5.1 Second-Order Formulation in Time -- 5.1.1 HHO Space Semi-discretization -- 5.1.2 Time Discretization -- 5.2 First-Order Formulation in Time -- 5.2.1 HHO Space Semi-discretization.
5.2.2 Time Discretization -- 5.3 Numerical Example -- 6 Contact and Friction -- 6.1 Model Problem -- 6.2 HHO-Nitsche Method -- 6.2.1 FEM-Nitsche Method -- 6.2.2 Discrete Setting for HHO-Nitsche -- 6.2.3 Stability and Error Analysis -- 6.3 Numerical Example -- 7 Plasticity -- 7.1 Plasticity Model -- 7.1.1 Kinematics and Additive Decomposition -- 7.1.2 Helmholtz Free Energy and Yield Function -- 7.1.3 Plasticity Problem in Incremental Form -- 7.2 HHO Discretizations -- 7.2.1 Discrete Unknowns -- 7.2.2 Discrete Plasticity Problem in Incremental Form -- 7.2.3 Nonlinear Solver -- 7.3 Numerical Examples -- 7.3.1 Torsion of a Square-Section Bar -- 7.3.2 Hydraulic Pump Under Internal Forces -- 8 Implementation Aspects -- 8.1 Polynomial Spaces -- 8.2 Algebraic Representation of the HHO Space -- 8.3 L2-Orthogonal Projections -- 8.3.1 Quadratures -- 8.3.2 Reduction Operator -- 8.4 Algebraic Realization of the Local HHO Operators -- 8.4.1 Local Reconstruction Operator -- 8.4.2 The Stabilization Operator -- 8.5 Assembly and Boundary Conditions -- 8.6 Remarks on the Computational Cost of HHO Methods -- Appendix References. |
| Record Nr. | UNISA-996466565403316 |
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Cicuttin Matteo
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| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Journal of elasticity
| Journal of elasticity |
| Pubbl/distr/stampa | [Dordrecht], : Kluwer Academic Publishers |
| Disciplina | 531.3823 |
| Soggetto topico |
Elasticity
Élasticité Engineering and manufacturing industries Física Física de l'estat sòlid Elasticitat |
| Soggetto genere / forma |
Periodicals.
Revistes electròniques. |
| ISSN | 1573-2681 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910144184703321 |
| [Dordrecht], : Kluwer Academic Publishers | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Scienza delle Costruzioni [[electronic resource] ] : Elementi di teoria dell'elasticità lineare / / by Roberto Paroni
| Scienza delle Costruzioni [[electronic resource] ] : Elementi di teoria dell'elasticità lineare / / by Roberto Paroni |
| Autore | Paroni Roberto |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Milano : , : Springer Milan : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XII, 379 pagg. 353 figg., 325 figg. a colori.) |
| Disciplina | 620.1 |
| Collana | La Matematica per il 3+2 |
| Soggetto topico |
Mechanics, Applied
Continuum mechanics Buildings—Design and construction Mathematical physics Engineering Mechanics Continuum Mechanics Building Construction and Design Mathematical Physics Elasticitat Esforç i tensió Enginyeria d'estructures |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 88-470-4020-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Nota di contenuto | Nozioni preliminari -- Analisi della deformazione -- Analisi della tensione -- Equazione dei lavori virtuali -- Equazioni costitutive -- Il problema elastico -- Criteri di resistenza -- Il problema di de Saint-Venant -- Sforzo normale e flessione semplice -- La torsione -- Flessione e taglio. |
| Record Nr. | UNISA-996499866103316 |
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Paroni Roberto
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| Milano : , : Springer Milan : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Scienza delle Costruzioni : Elementi di teoria dell'elasticità lineare / / by Roberto Paroni
| Scienza delle Costruzioni : Elementi di teoria dell'elasticità lineare / / by Roberto Paroni |
| Autore | Paroni Roberto |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Milano : , : Springer Milan : , : Imprint : Springer, , 2022 |
| Descrizione fisica | 1 online resource (XII, 379 pagg. 353 figg., 325 figg. a colori.) |
| Disciplina | 620.1 |
| Collana | La Matematica per il 3+2 |
| Soggetto topico |
Mechanics, Applied
Continuum mechanics Buildings—Design and construction Mathematical physics Engineering Mechanics Continuum Mechanics Building Construction and Design Mathematical Physics Elasticitat Esforç i tensió Enginyeria d'estructures |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 88-470-4020-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ita |
| Nota di contenuto | Nozioni preliminari -- Analisi della deformazione -- Analisi della tensione -- Equazione dei lavori virtuali -- Equazioni costitutive -- Il problema elastico -- Criteri di resistenza -- Il problema di de Saint-Venant -- Sforzo normale e flessione semplice -- La torsione -- Flessione e taglio. |
| Record Nr. | UNINA-9910632470403321 |
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Paroni Roberto
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| Milano : , : Springer Milan : , : Imprint : Springer, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Stochastic elasticity : a nondeterministic approach to the nonlinear field theory / / L. Angela Mihai
| Stochastic elasticity : a nondeterministic approach to the nonlinear field theory / / L. Angela Mihai |
| Autore | Mihai L. Angela |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (283 pages) |
| Disciplina | 519.2 |
| Collana | Interdisciplinary Applied Mathematics |
| Soggetto topico |
Stochastic processes
Elasticitat Models matemàtics Processos estocàstics |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031066924
9783031066917 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996490348003316 |
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Mihai L. Angela
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Stochastic elasticity : a nondeterministic approach to the nonlinear field theory / / L. Angela Mihai
| Stochastic elasticity : a nondeterministic approach to the nonlinear field theory / / L. Angela Mihai |
| Autore | Mihai L. Angela |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (283 pages) |
| Disciplina | 519.2 |
| Collana | Interdisciplinary Applied Mathematics |
| Soggetto topico |
Stochastic processes
Elasticitat Models matemàtics Processos estocàstics |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031066924
9783031066917 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910591033003321 |
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Mihai L. Angela
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory of elastic stability / / Stephen P. Timoshenko, James M. Gere
| Theory of elastic stability / / Stephen P. Timoshenko, James M. Gere |
| Autore | Timoshenko Stephen <1878-1972, > |
| Pubbl/distr/stampa | Mineola, New York : , : Dover Publications, Inc., , 2009 |
| Descrizione fisica | 1 online resource (1067 pages) |
| Disciplina |
531.382
531/.382 |
| Collana | Dover Civil and Mechanical Engineering |
| Soggetto topico |
Elasticity
Strains and stresses Elasticitat Esforç i tensió Engineering & Applied Sciences Applied Mathematics |
| ISBN |
9780486134802
0-486-13480-6 1-62198-613-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Preface to the Second Edition; Preface to the First Edition; Contents; Notations; Chapter 1. Beam-columns; 1.1 Introduction; 1.2 Differential Equations for Beam-columns; 1.3 Beam-column with Concentrated Lateral Load; 1.4 Several Concentrated Loads; 1.5 Continuous Lateral Load; 1.6 Bending of a Beam-column by Couples; 1.7 Approximate Formula for Deflections; 1.8 Beam-columns with Built-in Ends; 1.9 Beam-columns with Elastic Restraints; 1.10 Continuous Beams with Axial Loads; 1.11 Application of Trigonometric Series
1.12 The Effect of Initial Curvature on Deflections1.13 Determination of Allowable Stresses; Chapter 2. Elastic Buckling of Bars and Frames; 2.1 Euler's Column Formula; 2.2 Alternate Form of the Differential Equation for Determining Critical Loads; 2.3 The Use of Beam-column Theory in Calculating Critical Loads; 2.4 Buckling of Frames; 2.5 Buckling of Continuous Beams; 2.6 Buckling of Continuous Beams on Elastic Supports; 2.7 Large Deflections of Buckled Bars (the Elastica); 2.8 The Energy Method; 2.9 Approximate Calculation of Critical Loads by the Energy Method 2.10 Buckling of a Bar on an Elastic Foundation2.11 Buckling of a Bar with Intermediate Compressive Forces; 2.12 Buckling of a Bar under Distributed Axial Loads; 2.13 Buckling of a Bar on an Elastic Foundation under Distributed Axial Loads; 2.14 Buckling of Bars with Changes in Cross Section; 2.15 The Determination of Critical Loads by Successive Approximations; 2.16 Bars with Continuously Varying Cross Section; 2.17 The Effect of Shearing Force on the Critical Load; 2.18 Buckling of Built-up Columns; 2.19 Buckling of Helical Springs; 2.20 Stability of a System of Bars 2.21 The Case of Nonconservative Forces2.22 Stability of Prismatic Bars under Varying Axial Forces; Chapter 3. Inelastic Buckling of Bars; 3.1 Inelastic Bending; 3.2 Inelastic Bending Combined with Axial Load; 3.3 Inelastic Buckling of Bars (Fundamental Case); 3.4 Inelastic Buckling of Bars with Other End Conditions; Chapter 4. Experiments and Design Formulas; 4.1 Column Tests; 4.2 Ideal-column Formulas as a Basis of Column Design; 4.3 Empirical Formulas for Column Design; 4.4 Assumed Inaccuracies as a Basis of Column Design; 4.5 Various End Conditions; 4.6 The Design of Built-up Columns Chapter 5. Torsional Buckling5.1 Introduction; 5.2 Pure Torsion of Thin-walled Bars of Open Cross Section; 5.3 Nonuniform Torsion of Thin-walled Bars of Open Cross Section; 5.4 Torsional Buckling; 5.5 Buckling by Torsion and Flexure; 5.6 Combined Torsional and Flexural Buckling of a Bar with Continuous Elastic Supports; 5.7 Torsional Buckling under Thrust and End Moments; Chapter 6. Lateral Buckling of Beams; 6.1 Differential Equations for Lateral Buckling; 6.2 Lateral Buckling of Beams in Pure Bending; 6.3 Lateral Buckling of a Cantilever Beam 6.4 Lateral Buckling of Simply Supported I Beams |
| Record Nr. | UNINA-9911004744103321 |
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Timoshenko Stephen <1878-1972, >
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| Mineola, New York : , : Dover Publications, Inc., , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Soggetto topico
-
Elasticitat
(9)
- Models matemàtics (5)
- Elasticity (4)
- Esforç i tensió (3)
- Física de l'estat sòlid (3)