Stress concentration at notches. ([2017])

• Record Type: Book
• Further Information: Note: Mykhaylo P. Savruk, Andrzej Kazberuk.
• Authors: Savruk, Mykhaylo P; Kazberuk, Andrzej
• Contents: Preface; Contents; Acronyms; 1 Method of Singular Integral Equations in Application to Problems of the Theory of Elasticity; 1.1 Basic Relationships of the Plane Theory of Elasticity; 1.1.1 Basic Equations; 1.1.2 Complex Representation of General Solution for Equations of Plane Theory of Elasticity; 1.2 System of Curvilinear Cracks in Elastic Plane; 1.2.1 Selected Information Concerning the Theory of Analytical Functions; 1.2.2 Single Curvilinear Crack; 1.2.3 System of Curvilinear Cracks; 1.3 System of Curvilinear Holes and Cracks in Elastic Body; 1.3.1 Multiply Connected Region with Holes 1.3.2 Multiply Connected Region with Holes and Cracks1.4 Numerical Solution of Singular Integral Equations; 1.4.1 Quadrature Formulas; 1.4.2 Integral Equation on an Open Contour; 1.4.3 Integral Equation on a Closed Contour; References; 2 Stress Distribution in Elastic Plane with a Semi-infinite Notch; 2.1 Methods for Stress Analysis in Notched Bodies; 2.2 Eigensolutions of Elasticity Theory Plane Problem for Wedge; 2.2.1 Characteristic Equations; 2.2.2 Stress Intensity Factors in V-Notch Tip; 2.2.3 Constructing General Solution Using Eigenfunctions 2.3 Semi-infinite Curvilinear Notches in Elastic Plane2.3.1 Parabolic Notch; 2.3.2 Hyperbolic Notch; 2.3.3 Curvilinear Notch of Special Shape; 2.4 Rounded V-Notch Under Symmetrical Loading; 2.4.1 Problem Definition and Reduction to Singular Integral Equation; 2.4.2 Symmetrical Stress Distribution in Plane with Rounded V-Notch; 2.5 Rounded V-Notch Under Mixed Loading; 2.5.1 Antisymmetric Stress Distribution; 2.5.2 Complex-Stressed State; References; 3 Elastic Plane with Semi-infinite Notch and Cracks; 3.1 Elastic Wedge with Edge Crack at Notch Tip 3.1.1 Solutions Obtained Using Wiener -- Hopf Method3.1.2 Approximate Closed-Form Solution for Symmetrical Loading; 3.2 Edge Crack System in Semi-infinite Rounded V-Notch Tip; 3.2.1 Reduction of Problem to Singular Integral Equations; 3.2.2 Numerical Solution of Singular Integral Equations; 3.3 Symmetrical Edge Crack in Rounded V-Notch Tip; 3.4 Two Symmetrical Edge Cracks in Rounded V-Notch Tip; References; 4 Deformation Fracture Criterion for Bodies with Notches; 4.1 Fracture Criteria for Notched Solid Bodies; 4.2 Model of Plasticity Bands in Fracture Mechanics; 4.2.1 Plane Stress State 4.2.2 Plane Strain State4.3 Infinite Wedge with Plasticity Bands; 4.3.1 Plane Stress State; 4.3.2 Plane Strain State; 4.4 Plasticity Band Near Rounded V-Notch; 4.5 Two Plasticity Bands Near Rounded V-Notch; References; 5 Stress Concentration Near Hole in Elastic Plane; 5.1 Elliptical Hole; 5.1.1 Stress Concentration Near Elliptical Hole; 5.1.2 Limit Transition to Parabolic Notch; 5.1.3 Stress Distribution Around Notch Tip; 5.2 Oval Hole; 5.2.1 Stress Concentration Near Narrow Slot; 5.2.2 Stress Concentration Near Oval Hole; 5.2.3 Limit Transition to Two-Tip Lens-Like Hole; 5.3 Rhombic Hole
• Publisher Details: Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource, illustrations
• Subjects: 620.1126; Engineering; Fracture mechanics -- Mathematical models; Stress concentration; Integral equations; TECHNOLOGY & ENGINEERING / Engineering (General); TECHNOLOGY & ENGINEERING / Reference; Fracture mechanics -- Mathematical models; Integral equations; Stress concentration; Mathematics -- Applied; Science -- Mechanics -- General; Mathematics -- Mathematical Analysis; Maths for engineers; Classical mechanics; Integral calculus & equations; Mechanics, applied; Engineering mathematics; Mechanics; Technology & Engineering -- Mechanical; Mechanics of solids; Electronic books; Electronic books
• Languages: English
• ISBNs: 9783319445557; 3319445553
• Related ISBNs: 9783319445540; 3319445545
• Notes: Note: Includes bibliographical references.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.