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Foundations of Solid Mechanics [[electronic resource] /] / by P. Karasudhi
| Foundations of Solid Mechanics [[electronic resource] /] / by P. Karasudhi |
| Autore | Karasudhi P |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1991 |
| Descrizione fisica | 1 online resource (XVI, 446 p.) |
| Disciplina | 620.1/05 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Mechanics
Mechanical engineering Classical Mechanics Mechanical Engineering |
| ISBN |
94-010-5695-1
94-011-3814-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | I Mathematical Foundations -- 1.1 Tensors and continuum mechanics -- 1.2 Scalars and vectors -- 1.3 Indicial notation -- 1.4 Algebra of Cartesian tensors -- 1.5 Matrices and determinants -- 1.6 Linear equations and Eigenvalue problem -- 1.7 Theorems on tensor fields -- 1.8 Differential geometry -- 1.9 Dirac-delta and Heaviside step functions -- 1.10 Bessel functions -- 1.11 Laplace transforms -- 1.12 Inverse Laplace transforms -- 1.13 One-to-one mappings -- 1.14 Curvilinear coordinates -- 1.15 Derivatives with respect to curvilinear coordinates -- 1.16 Exercise problems -- II Stress and Strain Tensors -- 2.1 Introduction -- 2.2 Force distribution and stresses -- 2.3 Stress vector and equations of mation -- 2.4 Euler’s laws of motion -- 2.5 Stress tensor -- 2.6 Stationary shear stresses -- 2.7 Octahedral shear stress and stress deviator -- 2.8 Strain tensor -- 2.9 Compatibility conditions -- 2.10 Cylindrical and spherical coordinates -- 2.11 Problems -- 2.12 Exercise problems -- III Linear Elasticity -- 3.1 Strain energy function -- 3.2 Orthotopic and isotropic elastic solids -- 3.3 Young's moduli and Poisson's ratios for orthotropic elastic solids -- 3.4 Solution schemes -- 3.5 Field equations in tenns of displacements -- 3.6 Problems -- IV Elastostatic Plane Problems -- 4.1 Plane problems of orthotropic elastic materials -- 4.2 Airy function for isotropic plane problems -- 4.3 Isotropic elastic plane problems in cylindrical coordinates -- 4.4 Displacement for a given biharmonic function -- 4.5 Examples of infinite plane problems -- 4.6 Particular solutions for concentrated forces -- 4.7 Exercise problems -- Table 4.1 Complementary and particular solutions for elastostatics of isotropic planes -- V Bending of Elastic Thin Plates -- 5.1 Basic assumptions -- 5.2 Equilibrium, boundary conditions and stress resultants -- 5.3 Physical meaning of stress resultants -- 5.4 Governing conditions for isotropic plates -- 5.5 Solutions for rectangular plates -- 5.6 Closed form solutions for circular plates -- 5.7 Series solutions for circular plates -- 5.8 Polygonal plates supported at corners -- 5.9 Plates on elastic foundation -- 5.10 Exercise problems -- Table 5.1 Complementary and particular solutions for elastostatic bending of thin isotropic plates -- VI Elastostatics with Displacements as Unknowns -- 6.1 Field equations for plane problems -- 6.2 Solution scheme for large planes -- 6.3 Solution scheme for large spaces -- 6.4 Homogeneous half planes and half spaces -- 6.5 Concentrated force inside a half space -- 6.6 Load transfer problems -- 6.7 Infinite elements for multilayered half spaces -- 6.8 Saturated large spaces -- 6.9 Exercise problems -- VII Linear Viscoelasticity -- 7.1 Linear elasticity and Newtonian viscosity -- 7.2 Creep and relaxation -- 7.3 Compliance and modulus of mechanical models -- 7.4 Differential equations for stress-strain relationship -- 7.5 Steady state harmonic oscillation -- 7.6 Thermorheologically simple solids -- 7.7 Three-dimensional theory -- 7.8 Quasi-static solution by separation of variables -- 7.9 Steady state harmonic solution scheme -- 7.10 Integral transform methods and their limitations -- 7.11 Three-dimensional thermoviscoelasticity -- 7.12 Problems -- VIII Wave Propagation -- 8.1 Terminology in wave propagation -- 8.2 Wavefront and jumps -- 8.3 Velocity jumps in isotropic elastic domains -- 8.4 Reflection and tansmission at interfaces and boundaries -- 8.5 Waves in isotropic viscoelastic media -- 8.6 In-plane harmonic surface waves -- 8.7 Antiplane harmonic surface waves -- 8.8 Vibration of multilayered elastic half spaces -- 8.9 Asymmetric vibration of a homogeneous half space -- 8.10 Axisymmetric torsion of a layered half space -- 8.11 Total solution to vibration of half planes -- 8.12 Vibration of viscoelastic half spaces -- 8.13 Infinite elements for a homogeneous half space -- 8.14 Exercise problems -- IX Plasticity -- 9.1 Facts from simple tests -- 9.2 Basic assumptions and common characteristics of various theories -- 9.3 Various yield functions -- 9.4 Hardening and flow rules -- 9.5 Incremental formulation for isotropic hardening -- 9.6 Viscoplasticity -- X Finite Deformation -- 10.1 Different descriptions of changing configuration -- 10.2 Material derivative and conservation of mass -- 10.3 Stress tensors in different descriptions -- 10.4 Equations of motion in different descriptions -- 10.5 Finite strain tensors -- 10.6 Reformed Lagrangian description -- 10.7 Strain tensors in curvilinear coordinates -- 10.8 Equilibrium equations and stress tensors in curvilinear coordinates -- 10.9 Physical components of vectors and tensors -- 10.10 Boundary conditions and constitutive relationship in curvilinear coordinates -- 10.11 Compatibility conditions -- 10.12 Problems -- References -- Author Index. |
| Record Nr. | UNINA-9910480245603321 |
Karasudhi P
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Foundations of Solid Mechanics [[electronic resource] /] / by P. Karasudhi
| Foundations of Solid Mechanics [[electronic resource] /] / by P. Karasudhi |
| Autore | Karasudhi P |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1991 |
| Descrizione fisica | 1 online resource (XVI, 446 p.) |
| Disciplina | 620.1/05 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Mechanics
Mechanical engineering Classical Mechanics Mechanical Engineering |
| ISBN |
94-010-5695-1
94-011-3814-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | I Mathematical Foundations -- 1.1 Tensors and continuum mechanics -- 1.2 Scalars and vectors -- 1.3 Indicial notation -- 1.4 Algebra of Cartesian tensors -- 1.5 Matrices and determinants -- 1.6 Linear equations and Eigenvalue problem -- 1.7 Theorems on tensor fields -- 1.8 Differential geometry -- 1.9 Dirac-delta and Heaviside step functions -- 1.10 Bessel functions -- 1.11 Laplace transforms -- 1.12 Inverse Laplace transforms -- 1.13 One-to-one mappings -- 1.14 Curvilinear coordinates -- 1.15 Derivatives with respect to curvilinear coordinates -- 1.16 Exercise problems -- II Stress and Strain Tensors -- 2.1 Introduction -- 2.2 Force distribution and stresses -- 2.3 Stress vector and equations of mation -- 2.4 Euler’s laws of motion -- 2.5 Stress tensor -- 2.6 Stationary shear stresses -- 2.7 Octahedral shear stress and stress deviator -- 2.8 Strain tensor -- 2.9 Compatibility conditions -- 2.10 Cylindrical and spherical coordinates -- 2.11 Problems -- 2.12 Exercise problems -- III Linear Elasticity -- 3.1 Strain energy function -- 3.2 Orthotopic and isotropic elastic solids -- 3.3 Young's moduli and Poisson's ratios for orthotropic elastic solids -- 3.4 Solution schemes -- 3.5 Field equations in tenns of displacements -- 3.6 Problems -- IV Elastostatic Plane Problems -- 4.1 Plane problems of orthotropic elastic materials -- 4.2 Airy function for isotropic plane problems -- 4.3 Isotropic elastic plane problems in cylindrical coordinates -- 4.4 Displacement for a given biharmonic function -- 4.5 Examples of infinite plane problems -- 4.6 Particular solutions for concentrated forces -- 4.7 Exercise problems -- Table 4.1 Complementary and particular solutions for elastostatics of isotropic planes -- V Bending of Elastic Thin Plates -- 5.1 Basic assumptions -- 5.2 Equilibrium, boundary conditions and stress resultants -- 5.3 Physical meaning of stress resultants -- 5.4 Governing conditions for isotropic plates -- 5.5 Solutions for rectangular plates -- 5.6 Closed form solutions for circular plates -- 5.7 Series solutions for circular plates -- 5.8 Polygonal plates supported at corners -- 5.9 Plates on elastic foundation -- 5.10 Exercise problems -- Table 5.1 Complementary and particular solutions for elastostatic bending of thin isotropic plates -- VI Elastostatics with Displacements as Unknowns -- 6.1 Field equations for plane problems -- 6.2 Solution scheme for large planes -- 6.3 Solution scheme for large spaces -- 6.4 Homogeneous half planes and half spaces -- 6.5 Concentrated force inside a half space -- 6.6 Load transfer problems -- 6.7 Infinite elements for multilayered half spaces -- 6.8 Saturated large spaces -- 6.9 Exercise problems -- VII Linear Viscoelasticity -- 7.1 Linear elasticity and Newtonian viscosity -- 7.2 Creep and relaxation -- 7.3 Compliance and modulus of mechanical models -- 7.4 Differential equations for stress-strain relationship -- 7.5 Steady state harmonic oscillation -- 7.6 Thermorheologically simple solids -- 7.7 Three-dimensional theory -- 7.8 Quasi-static solution by separation of variables -- 7.9 Steady state harmonic solution scheme -- 7.10 Integral transform methods and their limitations -- 7.11 Three-dimensional thermoviscoelasticity -- 7.12 Problems -- VIII Wave Propagation -- 8.1 Terminology in wave propagation -- 8.2 Wavefront and jumps -- 8.3 Velocity jumps in isotropic elastic domains -- 8.4 Reflection and tansmission at interfaces and boundaries -- 8.5 Waves in isotropic viscoelastic media -- 8.6 In-plane harmonic surface waves -- 8.7 Antiplane harmonic surface waves -- 8.8 Vibration of multilayered elastic half spaces -- 8.9 Asymmetric vibration of a homogeneous half space -- 8.10 Axisymmetric torsion of a layered half space -- 8.11 Total solution to vibration of half planes -- 8.12 Vibration of viscoelastic half spaces -- 8.13 Infinite elements for a homogeneous half space -- 8.14 Exercise problems -- IX Plasticity -- 9.1 Facts from simple tests -- 9.2 Basic assumptions and common characteristics of various theories -- 9.3 Various yield functions -- 9.4 Hardening and flow rules -- 9.5 Incremental formulation for isotropic hardening -- 9.6 Viscoplasticity -- X Finite Deformation -- 10.1 Different descriptions of changing configuration -- 10.2 Material derivative and conservation of mass -- 10.3 Stress tensors in different descriptions -- 10.4 Equations of motion in different descriptions -- 10.5 Finite strain tensors -- 10.6 Reformed Lagrangian description -- 10.7 Strain tensors in curvilinear coordinates -- 10.8 Equilibrium equations and stress tensors in curvilinear coordinates -- 10.9 Physical components of vectors and tensors -- 10.10 Boundary conditions and constitutive relationship in curvilinear coordinates -- 10.11 Compatibility conditions -- 10.12 Problems -- References -- Author Index. |
| Record Nr. | UNINA-9910789498003321 |
|
Karasudhi P
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Foundations of Solid Mechanics [[electronic resource] /] / by P. Karasudhi
| Foundations of Solid Mechanics [[electronic resource] /] / by P. Karasudhi |
| Autore | Karasudhi P |
| Edizione | [1st ed. 1991.] |
| Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1991 |
| Descrizione fisica | 1 online resource (XVI, 446 p.) |
| Disciplina | 620.1/05 |
| Collana | Solid Mechanics and Its Applications |
| Soggetto topico |
Mechanics
Mechanical engineering Classical Mechanics Mechanical Engineering |
| ISBN |
94-010-5695-1
94-011-3814-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | I Mathematical Foundations -- 1.1 Tensors and continuum mechanics -- 1.2 Scalars and vectors -- 1.3 Indicial notation -- 1.4 Algebra of Cartesian tensors -- 1.5 Matrices and determinants -- 1.6 Linear equations and Eigenvalue problem -- 1.7 Theorems on tensor fields -- 1.8 Differential geometry -- 1.9 Dirac-delta and Heaviside step functions -- 1.10 Bessel functions -- 1.11 Laplace transforms -- 1.12 Inverse Laplace transforms -- 1.13 One-to-one mappings -- 1.14 Curvilinear coordinates -- 1.15 Derivatives with respect to curvilinear coordinates -- 1.16 Exercise problems -- II Stress and Strain Tensors -- 2.1 Introduction -- 2.2 Force distribution and stresses -- 2.3 Stress vector and equations of mation -- 2.4 Euler’s laws of motion -- 2.5 Stress tensor -- 2.6 Stationary shear stresses -- 2.7 Octahedral shear stress and stress deviator -- 2.8 Strain tensor -- 2.9 Compatibility conditions -- 2.10 Cylindrical and spherical coordinates -- 2.11 Problems -- 2.12 Exercise problems -- III Linear Elasticity -- 3.1 Strain energy function -- 3.2 Orthotopic and isotropic elastic solids -- 3.3 Young's moduli and Poisson's ratios for orthotropic elastic solids -- 3.4 Solution schemes -- 3.5 Field equations in tenns of displacements -- 3.6 Problems -- IV Elastostatic Plane Problems -- 4.1 Plane problems of orthotropic elastic materials -- 4.2 Airy function for isotropic plane problems -- 4.3 Isotropic elastic plane problems in cylindrical coordinates -- 4.4 Displacement for a given biharmonic function -- 4.5 Examples of infinite plane problems -- 4.6 Particular solutions for concentrated forces -- 4.7 Exercise problems -- Table 4.1 Complementary and particular solutions for elastostatics of isotropic planes -- V Bending of Elastic Thin Plates -- 5.1 Basic assumptions -- 5.2 Equilibrium, boundary conditions and stress resultants -- 5.3 Physical meaning of stress resultants -- 5.4 Governing conditions for isotropic plates -- 5.5 Solutions for rectangular plates -- 5.6 Closed form solutions for circular plates -- 5.7 Series solutions for circular plates -- 5.8 Polygonal plates supported at corners -- 5.9 Plates on elastic foundation -- 5.10 Exercise problems -- Table 5.1 Complementary and particular solutions for elastostatic bending of thin isotropic plates -- VI Elastostatics with Displacements as Unknowns -- 6.1 Field equations for plane problems -- 6.2 Solution scheme for large planes -- 6.3 Solution scheme for large spaces -- 6.4 Homogeneous half planes and half spaces -- 6.5 Concentrated force inside a half space -- 6.6 Load transfer problems -- 6.7 Infinite elements for multilayered half spaces -- 6.8 Saturated large spaces -- 6.9 Exercise problems -- VII Linear Viscoelasticity -- 7.1 Linear elasticity and Newtonian viscosity -- 7.2 Creep and relaxation -- 7.3 Compliance and modulus of mechanical models -- 7.4 Differential equations for stress-strain relationship -- 7.5 Steady state harmonic oscillation -- 7.6 Thermorheologically simple solids -- 7.7 Three-dimensional theory -- 7.8 Quasi-static solution by separation of variables -- 7.9 Steady state harmonic solution scheme -- 7.10 Integral transform methods and their limitations -- 7.11 Three-dimensional thermoviscoelasticity -- 7.12 Problems -- VIII Wave Propagation -- 8.1 Terminology in wave propagation -- 8.2 Wavefront and jumps -- 8.3 Velocity jumps in isotropic elastic domains -- 8.4 Reflection and tansmission at interfaces and boundaries -- 8.5 Waves in isotropic viscoelastic media -- 8.6 In-plane harmonic surface waves -- 8.7 Antiplane harmonic surface waves -- 8.8 Vibration of multilayered elastic half spaces -- 8.9 Asymmetric vibration of a homogeneous half space -- 8.10 Axisymmetric torsion of a layered half space -- 8.11 Total solution to vibration of half planes -- 8.12 Vibration of viscoelastic half spaces -- 8.13 Infinite elements for a homogeneous half space -- 8.14 Exercise problems -- IX Plasticity -- 9.1 Facts from simple tests -- 9.2 Basic assumptions and common characteristics of various theories -- 9.3 Various yield functions -- 9.4 Hardening and flow rules -- 9.5 Incremental formulation for isotropic hardening -- 9.6 Viscoplasticity -- X Finite Deformation -- 10.1 Different descriptions of changing configuration -- 10.2 Material derivative and conservation of mass -- 10.3 Stress tensors in different descriptions -- 10.4 Equations of motion in different descriptions -- 10.5 Finite strain tensors -- 10.6 Reformed Lagrangian description -- 10.7 Strain tensors in curvilinear coordinates -- 10.8 Equilibrium equations and stress tensors in curvilinear coordinates -- 10.9 Physical components of vectors and tensors -- 10.10 Boundary conditions and constitutive relationship in curvilinear coordinates -- 10.11 Compatibility conditions -- 10.12 Problems -- References -- Author Index. |
| Record Nr. | UNINA-9910818048503321 |
|
Karasudhi P
|
||
| Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||