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Elastostatics and kinetics of anisotropic and heterogeneous shell-type structures / Liviu Librescu
| Elastostatics and kinetics of anisotropic and heterogeneous shell-type structures / Liviu Librescu |
| Autore | Librescu, Liviu |
| Pubbl/distr/stampa | Leyden : Noordhoff International Publ., c1975 |
| Descrizione fisica | xxxii, 598 p. ; 23 cm |
| Disciplina | 935.47 |
| Collana | Monographs and textbooks on mechanics of solids and fluids. Mechanics of elastic stability ; 2 |
| Soggetto topico |
Aeroelasticity
Elastic plates and shells Elasticity |
| ISBN | 9028600353 |
| Classificazione | AMS 73C |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000845009707536 |
Librescu, Liviu
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| Leyden : Noordhoff International Publ., c1975 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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An introduction to the mathematical theory of vibrations of elastic plates [[electronic resource] /] / R.D. Mindlin ; edited by Jiashi Yang
| An introduction to the mathematical theory of vibrations of elastic plates [[electronic resource] /] / R.D. Mindlin ; edited by Jiashi Yang |
| Autore | Mindlin Raymond D (Raymond David), <1906-1987.> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (212 p.) |
| Disciplina | 624.1/776 |
| Altri autori (Persone) | YangJiashi <1956-> |
| Soggetto topico |
Elastic plates and shells
Vibration - Mathematical models Nonlinear theories |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-37323-0
9786611373238 981-277-249-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Foreword; Preface; Chapter 1: Elements of the Linear Theory of Elasticity; 1.01 Notation; 1.02 Principle of Conservation of Energy; 1.03 Hooke's Law; 1.04 Constants of Elasticity; 1.05 Uniqueness of Solutions; 1.06 Variational Equation of Motion
1.07 Displacement-Equations of Motion Chapter 2: Solutions of the Three-Dimensional Equations; 2.01 Introductory; 2.02 Simple Thickness-Modes in an Infinite Plate; 2.03 Simple Thickness-Modes in an Infinite, Isotropic Plate; 2.04 Simple Thickness-Modes in an Infinite, Monoclinic Plate; 2.05 Simple Thickness-Modes in an Infinite, Triclinic Plate 2.06 Plane Strain in an Isotropic Body 2.07 Equivoluminal Modes; 2.08 Wave-Nature of Equivoluminal Modes; 2.09 Infinite, Isotropic Plate Held between Smooth, Rigid Surfaces (Plane Strain); 2.10 Infinite, Isotropic Plate Held between Smooth, Elastic Surfaces (Plane Strain); 2.11 Coupled Dilatational and Equivoluminal Modes in an Infinite, Isotropic Plate with Free Faces (Plane Strain) 2.12 Three-Dimensional Coupled Dilatational and Equivoluminal Modes in an Infinite Isotropic Plate with Free Faces 2.13 Solutions in Cylindrical Coordinates; 2.14 Additional Boundaries; Chapter 3: Infinite Power Series of Two-Dimensional Equations; 3.01 Introductory 3.02 Stress-Equations of Motion 3.03 Strain; 3.04 Stress-Strain Relations; 3.05 Strain-Energy and Kinetic Energy; 3.06 Uniqueness of Solutions; 3.07 Plane Tensors; Chapter 4: Zero-Order Approximation; 4.01 Separation of Zero-Order Terms from Series 4.02 Uniqueness of Solutions |
| Record Nr. | UNINA-9910458257603321 |
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Mindlin Raymond D (Raymond David), <1906-1987.>
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| Hackensack, N.J., : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An introduction to the mathematical theory of vibrations of elastic plates [[electronic resource] /] / R.D. Mindlin ; edited by Jiashi Yang
| An introduction to the mathematical theory of vibrations of elastic plates [[electronic resource] /] / R.D. Mindlin ; edited by Jiashi Yang |
| Autore | Mindlin Raymond D (Raymond David), <1906-1987.> |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (212 p.) |
| Disciplina | 624.1/776 |
| Altri autori (Persone) | YangJiashi <1956-> |
| Soggetto topico |
Elastic plates and shells
Vibration - Mathematical models Nonlinear theories |
| ISBN |
1-281-37323-0
9786611373238 981-277-249-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Foreword; Preface; Chapter 1: Elements of the Linear Theory of Elasticity; 1.01 Notation; 1.02 Principle of Conservation of Energy; 1.03 Hooke's Law; 1.04 Constants of Elasticity; 1.05 Uniqueness of Solutions; 1.06 Variational Equation of Motion
1.07 Displacement-Equations of Motion Chapter 2: Solutions of the Three-Dimensional Equations; 2.01 Introductory; 2.02 Simple Thickness-Modes in an Infinite Plate; 2.03 Simple Thickness-Modes in an Infinite, Isotropic Plate; 2.04 Simple Thickness-Modes in an Infinite, Monoclinic Plate; 2.05 Simple Thickness-Modes in an Infinite, Triclinic Plate 2.06 Plane Strain in an Isotropic Body 2.07 Equivoluminal Modes; 2.08 Wave-Nature of Equivoluminal Modes; 2.09 Infinite, Isotropic Plate Held between Smooth, Rigid Surfaces (Plane Strain); 2.10 Infinite, Isotropic Plate Held between Smooth, Elastic Surfaces (Plane Strain); 2.11 Coupled Dilatational and Equivoluminal Modes in an Infinite, Isotropic Plate with Free Faces (Plane Strain) 2.12 Three-Dimensional Coupled Dilatational and Equivoluminal Modes in an Infinite Isotropic Plate with Free Faces 2.13 Solutions in Cylindrical Coordinates; 2.14 Additional Boundaries; Chapter 3: Infinite Power Series of Two-Dimensional Equations; 3.01 Introductory 3.02 Stress-Equations of Motion 3.03 Strain; 3.04 Stress-Strain Relations; 3.05 Strain-Energy and Kinetic Energy; 3.06 Uniqueness of Solutions; 3.07 Plane Tensors; Chapter 4: Zero-Order Approximation; 4.01 Separation of Zero-Order Terms from Series 4.02 Uniqueness of Solutions |
| Record Nr. | UNINA-9910784601603321 |
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Mindlin Raymond D (Raymond David), <1906-1987.>
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| Hackensack, N.J., : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mathematical foundations and biomechanics of the digestive system / / Roustem N. Miftahof, Hong Gil Nam
| Mathematical foundations and biomechanics of the digestive system / / Roustem N. Miftahof, Hong Gil Nam |
| Autore | Miftahof Roustem |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2010 |
| Descrizione fisica | 1 online resource (xx, 220 pages) : digital, PDF file(s) |
| Disciplina | 612.3/2 |
| Soggetto topico |
Gastrointestinal system - Mathematical models
Biomechanics Elastic plates and shells |
| ISBN |
0-511-84663-0
1-107-20322-8 1-282-55838-2 9786612558382 0-511-71350-9 0-511-71475-0 0-511-71267-7 0-511-71600-1 0-511-71690-7 0-511-71196-4 0-511-72281-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Geometry of the surface -- 2. Parameterization of shells of complex geometry -- 3. Nonlinear theory of thin shells -- 4. Continuum model of the biological tissue -- 5. Boundary conditions -- 6. Soft shells -- 7. Biomechanics of the stomach -- 8. Biomechanics of the small intestine -- 9. Biomechanics of the large intestine -- 10. Biological applications of mathematical modeling; Index. |
| Altri titoli varianti | Mathematical Foundations & Biomechanics of the Digestive System |
| Record Nr. | UNINA-9911004774003321 |
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Miftahof Roustem
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| Cambridge : , : Cambridge University Press, , 2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Nonlinear theory of elastic plates / / Anh Le Van
| Nonlinear theory of elastic plates / / Anh Le Van |
| Autore | Van Anh Le |
| Pubbl/distr/stampa | London : , : ISTE Press, , 2017 |
| Descrizione fisica | 1 online resource (214 pages) : illustrations |
| Disciplina | 624.1/776 |
| Soggetto topico |
Elastic plates and shells
Nonlinear theories |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910583035103321 |
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Van Anh Le
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| London : , : ISTE Press, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Plates, laminates and shells : asymptotic analysis and homogenization / / T. Lewinski, J.J. Telega
| Plates, laminates and shells : asymptotic analysis and homogenization / / T. Lewinski, J.J. Telega |
| Autore | Lewinski T |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2000 |
| Descrizione fisica | 1 online resource (765 p.) |
| Disciplina | 531/.382 |
| Altri autori (Persone) | TelegaJozef Joachim |
| Collana | Series on advances in mathematics for applied sciences |
| Soggetto topico |
Elastic plates and shells
Homogenization (Differential equations) |
| ISBN |
9789812813695
9812813691 9781615838714 1615838716 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; Preface; CHAPTER I MATHEMATICAL PRELIMINARIES; Introduction; 1. Function spaces, convex analysis, variational convergence; 1.1. Function spaces: LP and Sobolev spaces; 1.1.1. Lebesgue spaces LP; 1.1.2. Sobolev spaces and trace operators; 1.2. Elements of convex analysis and duality, minimization theorems, multivalued mappings; 1.2.1. Convex sets and functions; 1.2.2. Minimization theorems; 1.2.3. Normal integrands, integral functionals and Rockafellar's theorem; 1.2.4. Quasiconvexity and A-quasiconvexity; 1.2.5. Elements of the duality theory; 1.2.6. Set-valued maps
1.3. Variational convergence of sequences of operators and functionals1.3.1. G-convergence; 1.3.2. H-convergence and the energy method; 1.3.3. Two-scale convergence; 1.3.4. Γ-convergence; 1.3.5. Γ-convergence of sequence of nonconvex functionals convex in highest-order derivatives: non-uniform homogenization; 1.3.6. Γ-convergence and duality; 1.3.7. Convergence of sets in Kuratowski's sense; 1.4. Two approximation results; 1.5. An augmented Lagrangian method for problems with unilateral constraints; CHAPTER II ELASTIC PLATES; Introduction 2. Three-dimensional analysis and effective models of composite plates2.1. Equilibrium problem of a periodic plate; 2.2. Family of problems (Pε); 2.3. Asymptotic analysis. Effective moduli and local problems; 2.4. Case of transverse symmetry; 2.5. Centrosymmetry of the periodicity cell; 2.6. On computing effective stiffnesses; 2.7. Case of moderately thick periodicity cells; 2.8. Case of thin periodicity cells. Derivation by imposing Kirchhoff's constraints; 2.9. Case of transversely slender periodicity cells of constant thickness 3. Thin plates in bending and stretching3.1. Kirchhoff type description; 3.2. Asymptotic homogenization. In-plane scaling approach; 3.3. Refined scaling approach; 3.4. Variational formulae for effective stiffnesses; 3.5. Correctors; 3.6. Variational formulae for effective compliances. Dual effective potential; 3.7. Transversely symmetric plates periodic in one direction; 3.8. Ribbed plates. Bending problem; 3.8.1. Formula of Francfort and Murat for stiffnesses; 3.8.2. Ribbed plates of higher rank with the stronger phase taken as an envelope 3.8.3. Formula of Lurie-Cherkaev-Fedorov for stiffnesses |
| Record Nr. | UNINA-9911006547303321 |
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Lewinski T
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| Singapore ; ; River Edge, N.J., : World Scientific, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Static and dynamic problems of nanobeams and nanoplates / / Snehashish Chakraverty (National Institute of Technology Rourkela, India), Laxmi Behera (National Institute of Technology Rourkela, India)
| Static and dynamic problems of nanobeams and nanoplates / / Snehashish Chakraverty (National Institute of Technology Rourkela, India), Laxmi Behera (National Institute of Technology Rourkela, India) |
| Autore | Chakraverty Snehashish |
| Pubbl/distr/stampa | [Hackensack] New Jersey : , : World Scientific, , [2017] |
| Descrizione fisica | 1 online resource (212 pages) : illustrations |
| Disciplina | 620.1/153 |
| Soggetto topico |
Nanostructured materials - Mechanical properties
Elastic analysis (Engineering) Micromechanics Elastic plates and shells Elastic rods and wires |
| ISBN | 981-314-392-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910149711103321 |
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Chakraverty Snehashish
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| [Hackensack] New Jersey : , : World Scientific, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory and analysis of elastic plates and shells / J. N. Reddy
| Theory and analysis of elastic plates and shells / J. N. Reddy |
| Autore | Reddy, Junuthula Narasimha |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Boca Raton, Fla. : CRC, c2007 |
| Descrizione fisica | 547 p. : ill. ; 27 cm |
| Disciplina | 624.1776 |
| Soggetto topico | Elastic plates and shells |
| ISBN |
9780849384158
084938415X |
| Classificazione |
AMS 74K
LC QA935.R347 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003950699707536 |
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Reddy, Junuthula Narasimha
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| Boca Raton, Fla. : CRC, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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A theory of latticed plates and shells / / G.I. Pshenichnov
| A theory of latticed plates and shells / / G.I. Pshenichnov |
| Autore | Pshenichnov G. I |
| Pubbl/distr/stampa | Singapore ; ; New Jersey, : World Scientific, 1993 |
| Descrizione fisica | 1 online resource (324 p.) |
| Disciplina | 624.1/776/0151 |
| Collana | Series on advances in mathematics for applied sciences |
| Soggetto topico |
Elastic plates and shells
Elastic solids |
| ISBN |
9789812797100
9812797106 9781615838707 1615838708 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
PREFACE; CONTENTS; CONSISTENTLY USED SYMBOLS; Chapter 1 RETICULATED SHELL THEORY: EQUATIONS; 1.1 Anisotropic Shell Theory: Basic Equations; 1.1.1 Static equations; 1.1.2 Geometric equations; 1.1.3 Constitutive equations for anisotropic shells; 1.2 Constitutive Equations in the Reticulated Shell Theory; 1.2.1 Constitutive equations for the rods of reticulated shells; 1.2.2 Constitutive equations for a calculation model; 1.2.3 Assessment of the deformation components and forces in the rods using the forces and moments of the calculation model
1.2.4 Constitutive equations for an oblique-angled system of coordinates1.2.5 More complex version of the constitutive equations; 1.2.6 Study of the geometrical stability of the reticulated shell's calculation model. Deformation energy; 1.2.7 Boundary conditions; 1.3 More Precise Constitutive Equations in the Reticulated Shell Theory; 1.3.1 Allowance for transverse shear, cross-section warping and transverse deformation of rods; 1.3.2 Allowance for the rods' non-linear-elastic deformation; Chapter 2 DECOMPOSITION METHOD 2.1 Solution of Equations and Boundary Value Problems by the Decomposition Method2.1.1 Decomposition method; 2.1.2 Merits of the method; 2.2 Application of the Decomposition Method for Particular Problems; 2.2.1 Analytical solutions; 2.2.2 Numerical solutions; Chapter 3 STATICS; 3.1 Plane Problem; 3.1.1 A plate with more than two families of rods; 3.1.2 A plate with two families of rods; 3.2 Bending of Plates; 3.2.1 Differential equation for bending; 3.2.2 A plate with a rhombic lattice; 3.2.3 A plate with more than two families of rods; 3.2.4 Plates with an elastic contour 3.2.5 Plates made from composite material3.2.6 Plates made from nonlinear elastic material; 3.2.7 Bending of plate subjected to large deflections; 3.3 Shallow Shells; 3.3.1 Various differential equation systems for shallow shells subjected to medium bending; 3.3.2 Shallow shells with constant lattice parameters; 3.3.3 Shallow spherical shells; 3.4 Small Parameter Method in the Shallow Shell Theory; 3.4.1 Constitutive equations; 3.4.2 Differential equation system; 3.4.3 Small parameter method; 3.4.4 Numerical method for solving boundary iteration process problems 3.4.5 Shallow non-circular cylindrical shells3.5 Circular Cylindrical Shells; 3.5.1 Differential equation system; 3.5.2 Cylindrical shell with a rhombic lattice; 3.5.3 Cylindrical shell with a square lattice; 3.5.4 Calculation tables for reticulated cylindrical shells; 3.6 Optimum Design of a Shell with an Orthogonal Lattice; 3.6.1 Statement of problem; 3.6.2 Solution using the optimal control theory; 3.7 Shells of Rotation; 3.7.1 Basic relationships and equations; 3.7.2 Axisymmetrical deformation; 3.7.3 Non-axisymmetrical deformation; 3.7.4 Cylindrical shell made from composite material 3.7.5 Shell of rotation made from nonlinear elastic material |
| Altri titoli varianti | Latticed plates and shells |
| Record Nr. | UNINA-9911006546903321 |
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Pshenichnov G. I
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| Singapore ; ; New Jersey, : World Scientific, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Theory of thin elastic shells / M. Dikmen
| Theory of thin elastic shells / M. Dikmen |
| Autore | Dikmen, M. |
| Pubbl/distr/stampa | Boston : Pitman Advanced Publ. Program, 1982 |
| Descrizione fisica | xii, 364 p. : ill. ; 24 cm. |
| Disciplina | 531.3823 |
| Collana | Surveys and reference works in mathematics ; 8 |
| Soggetto topico |
Elastic plates and shells
Shells |
| ISBN | 0273084313 |
| Classificazione | AMS 73K15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001439059707536 |
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Dikmen, M.
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| Boston : Pitman Advanced Publ. Program, 1982 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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