Mathematical modelling in solid mechanics. ([2017])

• Record Type: Book
• Further Information: Note: Francesco dell'Isola, Mircea Sofonea, David Steigmann, editors.
• Editors: Dell'Isola, Francesco; Sofonea, Mircea; Steigmann, David J
• Contents: Preface; Emerging Trends in Applied Mathematics and Mechanics (ETAMM 2016); Organizing Committee; International Scientific Committee; Plenary Lectures; Keynotes Lectures; Contents; Contributors; Convergence of Hencky-Type Discrete Beam Model to Euler Inextensible Elastica in Large Deformation: Rigorous Proof; 1 Introduction; 2 Convergence of Measure Functionals; 3 Micro-Model for Non-Linear Beams; 3.1 Discrete Configurations and Operators; 3.2 Left Hand Side Clamped Inextensible Beam; 3.3 Deformation Energy Associated with Three Points Interactions. 3 Governing Equations for the Equilibrium of Cosserat Shells4 Variational Formulation and Existence of Minimizers; 5 Application: Isotropic Cosserat Shells; 6 Open Problems; References; Flow Relations and Yield Functions for Dissipative Strain-Gradient Plasticity; 1 Introduction; 2 Governing Equations and Inequalities; 3 Weak Form of Equilibrium and the Elastic -- Plastic Initial-Boundary Value Problem; 4 The Fully Discrete Problem; 5 Concluding Remarks; References; Finite Elasto-Plastic Models for Lattice Defects in Crystalline Materials; 1 Introduction. 2 Geometry and Kinematics of Elasto-Plastic Body3 Energetic Assumptions; 3.1 Micro Balance Equations; 3.2 Free Energy Density Function; 4 The Postulate of the Free Energy Imbalance; 5 Viscoplastic Type Evolution Equations; 6 Concluding Remarks; References; Modeling Deformable Bodies Using Discrete Systems with Centroid-Based Propagating Interaction: Fracture and Crack Evolution; 1 Introduction; 1.1 Motivation and Basic Ideas; 1.2 A Summary of the Algorithm and of the Formalism Employed; 1.3 Short Summary of Preliminary Numerical Results; 1.4 Further Comparison with Finite Element Simulations. 2 Spontaneous Evolution and Discrete Energy Equivalent3 Fracture and Crack Formation and Evolution; 3.1 Introduction of the Fracture; 3.2 Basic Fracture and Crack Evolution; 3.3 Uniaxial External Action; 3.4 Almost-Steady State; 4 Conclusion and Further Objectives; References; A Review on Wave Propagation Modeling in Band-Gap Metamaterials via Enriched Continuum Models; 1 Introduction; 1.1 Notations; 1.2 The Fundamental Role of Micro-Inertia in Enriched Continuum Mechanics; 2 The Classical Relaxed Micromorphic Model.
• Publisher Details: Singapore : Springer
• Publication Date: 2017
• Copyright Date: 2017
• Extent: 1 online resource, illustrations
• Subjects: 621.01/5118; Mechanical engineering -- Mathematical models; TECHNOLOGY & ENGINEERING -- Mechanical; Mechanical engineering -- Mathematical models; Engineering; Continuum Mechanics and Mechanics of Materials; Computational Science and Engineering; Numeric Computing; Numerical and Computational Physics, Simulation; Electronic books
• Languages: English
• ISBNs: 9789811037641; 9811037647
• Related ISBNs: 9789811037634; 9811037639
• Notes: Note: Includes bibliographical references and index.; Note: Vendor-supplied metadata.
• 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.