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Format: 1 Online-Ressource (XX, 380 Seiten) , Illustrationen

ISBN: 9783031160233

Series Statement: Advanced Structured Materials 181

Content: Plane-deformed state of the orthotropic plane with various stress concentrators -- Mixed problems for a homogeneous elastic plane and semi-plane with stress concentrators -- Plane stress state of a piecewise homogeneous elastic plane with interfacial defects -- Plane contact problems for a composite semi-plane with interfacial defects -- Axisymmetric mixed problems for a composite space with interfacial defects -- Plane mixed problems for a piecewise homogeneous uniformly layered space with defects -- Axisymmetric mixed problems for a piecewise homogeneous uniformly layered space with defects.

Content: This book is devoted to the study of topical issues of the simultaneous interaction of various types of stress concentrators with massive homogeneous and composite deformable bodies. A wide class of new contact and mixed problems is considered, and their closed or effective solutions are constructed. The features of the dynamic mutual influence of various stress concentrators in some problems of forced vibrations of composite massive bodies are also studied.

Additional Edition: ISBN 9783031160226

Additional Edition: ISBN 9783031160240

Additional Edition: ISBN 9783031160257

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031160226

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031160240

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 9783031160257

Language: English

DOI: 10.1007/978-3-031-16023-3

URL: lizenzpflichtig

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Format: XX, 380 p. 130 illus., 28 illus. in color. , online resource.

Edition: 1st ed. 2023.

ISBN: 9783031160233

Series Statement: Advanced Structured Materials, 181

Content: This book is devoted to the study of topical issues of the simultaneous interaction of various types of stress concentrators with massive homogeneous and composite deformable bodies. A wide class of new contact and mixed problems is considered, and their closed or effective solutions are constructed. The features of the dynamic mutual influence of various stress concentrators in some problems of forced vibrations of composite massive bodies are also studied.

Note: Plane-deformed state of the orthotropic plane with various stress concentrators -- Mixed problems for a homogeneous elastic plane and semi-plane with stress concentrators -- Plane stress state of a piecewise homogeneous elastic plane with interfacial defects -- Plane contact problems for a composite semi-plane with interfacial defects -- Axisymmetric mixed problems for a composite space with interfacial defects -- Plane mixed problems for a piecewise homogeneous uniformly layered space with defects -- Axisymmetric mixed problems for a piecewise homogeneous uniformly layered space with defects.

In: Springer Nature eBook

Additional Edition: Printed edition: ISBN 9783031160226

Additional Edition: Printed edition: ISBN 9783031160240

Additional Edition: Printed edition: ISBN 9783031160257

Language: English

DOI: 10.1007/978-3-031-16023-3

URL: https://doi.org/10.1007/978-3-031-16023-3

UID:

Format: 1 online resource (397 pages)

ISBN: 9783031160233

Series Statement: Advanced structured materials ; Volume 181

Note: Intro -- Preface -- References -- About This Book -- Contents -- 1 Stresses Near the Absolutely Rigid Inclusion in an Orthotropic Plane -- 1.1 Introduction -- 1.2 Mixed Problem for an Orthotropic Plane with a Crack -- 1.3 Some Special Problems -- 1.4 Mixed Boundary Value Problem for Orthotropic Plane with Cut, on the Banks of Which Identical Absolutely Rigid Stamps with a Flat Base Are Pressed -- 1.5 Mixed Boundary Value Problem for an Orthotropic Plane with a Cut, into One of the Edges of Which an Absolutely Rigid Stamp with a Flat Base Is Pressed -- 1.6 Orthotropic Plane with Cuts and Absolutely Rigid Inclusion Under the Influence of a Pair of Concentrated Loads -- 1.7 Plane Stress State of an Orthotropic Plane with Two Cuts Connected by an Absolutely Rigid Inclusion -- 1.8 Stress State of Orthotropic Plane, Containing the Absolutely Rigid Inclusion, When One Edge of Inclusion Is Rigidly Coupled and the Other Is in the Smooth Contact with Plane -- 1.9 Load Transfer from Elastic Inclusions to an Infinite Elastic Orthotropic Plane with Slits -- References -- 2 Some Mixed Boundary Value Problems for Homogeneous Elastic Plane and Half-Plane, Weakened by Cracks -- 2.1 Stress State of Elastic Plane with Semi-infinite Slit Perpendicularly Positioned in the Absolutely Rigid Inclusion of Finite Length -- 2.2 Stress State of an Elastic Plane with a Semi-infinite Slit Extending Perpendicular to a Crack of Finite Length -- 2.3 Stress State of an Elastic Plane with a Semi-infinite Slit, Perpendicularly Situated on an Absolutely Rigid Inclusion Partially Detached from the Matrix -- 2.4 Stress State of Elastic Half-Plane, Containing Thin Rigid Inclusion on Bound, One Edge of Which Is Separated from Matrix -- 2.5 Stress State of Homogeneous Elastic Plane, Containing Opposite Cracks with Mixed Boundary Conditions on Banks of Cracks. , 2.6 Stress State of a Semi-plane with an Absolutely Rigid Inclusion and Crack Rising on the Boundary -- References -- 3 Plane Strain State of Piecewise Homogeneous Elastic Plane With Interfacial Absolutely Rigid Inclusions -- 3.1 Mixed Boundary Value Problem for a Compound Plane Weakened by Crack -- 3.2 Mixed Problem for Compound Plane Weakened by Periodic System of Cracks -- 3.3 Stress State of Compound Plane with Absolutely Rigid Inclusion on Boundary Line of Materials -- 3.4 Contact Problem for a Piecewise Homogeneous Plane with an Interfacial Crack Under Dry Friction -- 3.5 Stress State of a Compound Plane with Interface Absolutely Rigid Inclusion and Crack Having Common Tip -- 3.6 The Stress State of Compound Plane, Weakened by Arc-Shaped Cracks with Stresses Given on One Bank and Displacements on the Other -- References -- 4 Plane Stress State of Half-Plane Consisting of Interfacial Crack -- 4.1 Discontinuous Solutions for a Coated Half-Plane with Interfacial Cracks -- 4.2 Contact Problem for Piecewise Homogeneous Half-Plane -- 4.3 On the Load Transfer from a Deformed Patch to the Compound Half-Plane with Interfacial Cracks -- References -- 5 Mixed Boundary Value Problem For Compound Space With Interphase Defects -- 5.1 Introduction -- 5.2 Axis-Symmetrical Mixed Boundary Value Problem for Compound Space with Coin-Shaped Crack -- 5.3 Axis-Symmetrical Mixed Problem for Compound Space, Weakened by Semi-Infinite Ring-Shaped Crack -- 5.4 Stresses Near the Absolutely Rigid Coin-Shaped Inclusion in Piecewise Homogeneous Space -- 5.5 Axisymmetric Smooth Contact Problem for a Composite Space with a Circular Disk-Shaped Crack -- References -- 6 Periodic and Doubly Periodic Problem for Piecewise Homogeneous Plane with Defects -- 6.1 Introduction -- 6.2 Statement of the Problem and Derivation of Discontinuous Solutions of Elasticity Theory Equations. , 6.3 Piecewise Homogeneous Plane with a Doubly Periodic System of Cracks -- 6.4 Doubly Periodic Problem for Piecewise Homogeneous Plane with Absolutely Rigid Inclusions -- 6.5 The Stress State of a Piecewise Uniform Layered Space with Doubly Periodic Internal Cracks -- 6.6 The Stress State of an Uniformly Piecewise Homogeneous Layered Plane with a System of Periodic Parallel Internal Inclusions -- 6.7 Periodic Problem for a Plane Composed of Two-Layer Strips with a System of Longitudinal Internal Inclusions and Cracks -- References -- 7 Axis-Symmetrical Stress State of Piecewise Homogeneous, Uniformly Layered Space with Periodical Disk-Shaped Defects -- 7.1 The Discontinuous Solutions of Axis-Symmetrical Theory of Elasticity for Piecewise Homogeneous, Layered Space with Periodical Interphase Disk-Shaped Defects -- 7.2 Piecewise Homogeneous Layered Space with Parallel Disk-Shaped Absolutely Rigid Inclusions -- 7.3 Piecewise Homogeneous Layered Space with Parallel Disk-Shaped Cracks -- 7.4 On Axial Symmetric Stress State of Uniformly Layered Space with System of Periodical Inner Disk-Shaped Cracks -- 7.5 Axisymmetric Stressed State of Uniformly Layered Space with Periodic Systems of Internal Disk-Shaped Cracks and Inclusions -- References -- 8 Dynamic Mixed Boundary Value Problems for a Compound Half-Space and a Compound Plane with Interphase Defects -- 8.1 Forced Shear Vibrations of a Stamp at the Boundary of a Composite Half-Space with Interphase Defects -- 8.2 Forced Shift Vibrations of Stamp on the Border of Composite Half-Space with Interfacial Partially Detached Thin Inclusions from the Matrix -- 8.3 Plane Stress State of an Elastic Compound Plane with Interfacial Cracks and Inclusions Under the Influence of Dynamic Loads -- References.

Additional Edition: Print version: Hakobyan, Vahram N. Stress Concentrators in Continuous Deformable Bodies Cham : Springer International Publishing AG,c2023 ISBN 9783031160226

Language: English