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Foundations of micropolar mechanics / / by Victor A. Eremeyev, Leonid P. Lebedev, Holm Altenbach
| Foundations of micropolar mechanics / / by Victor A. Eremeyev, Leonid P. Lebedev, Holm Altenbach |
| Autore | Eremeyev Victor A |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 |
| Descrizione fisica | 1 online resource (144 p.) |
| Disciplina | 531 |
| Collana | SpringerBriefs in Continuum Mechanics |
| Soggetto topico |
Mechanics
Mechanics, Applied Algebra Field theory (Physics) Solid Mechanics Classical Mechanics Field Theory and Polynomials |
| Soggetto non controllato |
Engineering
Field theory (Physics) Mechanics Materials Continuum Mechanics and Mechanics of Materials Field Theory and Polynomials |
| ISBN |
1-283-53181-X
9786613844262 3-642-28353-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foundations of Micropolar Mechanics; Preface; References; Contents; 1 Introduction; 2 Kinematics of Micropolar Continuum; References; 3 Forces and Couples, Stress and Couple Stress Tensors in Micropolar Continua; 3.1 Forces and Couples; 3.2 Euler's Laws of Motion; 3.3 Stress Tensor and Couple Stress Tensor; 3.4 Principal Stresses in Micropolar Continua; 3.5 Equations of Motion; 3.6 Boundary-Value Problems; References; 4 Constitutive Equations; 4.1 General Principles Restricting the Constitutive Equations; 4.2 Natural Lagrangian Strain Measures of Cosserat Continuum
4.2.1 Strain Measures by Geometrical Approach4.2.2 Principle of Virtual Work and Work-Conjugate Strain Measures; 4.2.3 Invariance of the Polar-Elastic Strain Energy Density; 4.2.4 Vectorial Parameterizations of Strain Measures; 4.3 Kinetic Constitutive Equations; 4.4 Material Symmetry Group; 4.5 Non-Linear Micropolar Isotropic Solids; 4.6 Physically Linear Micropolar Solid; 4.7 Linear Micropolar Isotropic Solids; 4.8 Constraints; 4.9 Constitutive Inequalities; 4.9.1 Constitutive Restrictions in Linear Micropolar Elasticity; 4.9.2 Coleman--Noll Inequality for Micropolar Continuum 4.9.3 Strong Ellipticity and Hadamard Inequality4.9.4 Ordinary Ellipticity; 4.10 Micropolar Fluid; 4.11 Some Sources of Constitutive Equations for Micropolar Materials; References; 5 Strong Ellipticity and AccelerationWaves in Micropolar Continuum; 5.1 Thermoconductivity Equation in the MicropolarContinuum; 5.2 Acceleration Waves; 5.3 Homothermal AccelerationWaves; Appendix A Elements of Tensor Analysis; A.1...Vectors; A.2...Tensorstensor; A.3...Second-Order Tensorssecond-order tensor; A.4...Higher Order Tensorstensor!higher order; A.5...Basis Transformation A.6...Polar and Axial Vectors and Tensorsvector!axialtensor!axialvector!polartensor!polarA.7...Tensor Functions; A.8...Vector and Tensor Fields; A.9...Curves in Space; A.10...Surfaces; Appendix B Elements of Rigid Body Dynamics; Appendix C Elements of Mechanics of Elastic Rods; Appendix D Micropolar Plates and Shells as Two-Dimensional Cosserat Continua; D.1...Kinematics of a Micropolar Shell; D.2...The Virtual Work Principle and Formulation of Boundary Value Problems; D.3...Euler's Motion Laws of a Micropolar Shell; D.4...Constitutive Equations for a Micropolar Shell; D.5...Linear Theory of Micropolar Shells D.6...Constitutive Restrictions for Micropolar ShellsD.6.1enspLinear Theory of Micropolar Shell; D.6.2enspColeman--Noll Inequality for Elastic ShellsColeman-Noll inequality; D.6.3enspStrong Ellipticity and Hadamard Inequality; D.6.4enspStrong Ellipticity Condition and Acceleration Wavesacceleration wave; D.6.5enspOrdinary Ellipticityordinary ellipticity; References; Index |
| Record Nr. | UNINA-9910438059303321 |
Eremeyev Victor A
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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From Natural Numbers to Quaternions / Jürg Kramer, Anna-Maria von Pippich
| From Natural Numbers to Quaternions / Jürg Kramer, Anna-Maria von Pippich |
| Autore | Kramer, Jürg |
| Pubbl/distr/stampa | Cham, : Springer, 2017 |
| Descrizione fisica | x, 285 p. : ill. ; 24 cm |
| Altri autori (Persone) | Pippich, Anna-Maria : von |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
12-XX - Field theory and polynomials [MSC 2020] 08-XX - General algebraic systems [MSC 2020] |
| Soggetto non controllato |
Associative Rings and Algebras
Commutative Rings and Algebras Complex numbers algebraicity Complex numbers construction Field Theory and Polynomials Group Theory and Generalizations Group theory elements Hamiltonian quaternions construction Integers construction Number theory Proof transcendence Euler number Rational numbers construction Real numbers construction Ring theory elements |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124136 |
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Kramer, Jürg
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| Cham, : Springer, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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