Developments and Novel Approaches in Nonlinear Solid Body Mechanics

1. Front Matter

   Pages i-xxiv

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2. International Conference on Nonlinear Solid Mechanics 2019: General Topics and Review of Plenary Lectures

   • Marco Laudato, Daria Scerrato, Chuong Anthony Tran, Emilio Barchiesi

   Pages 1-13

3. Mathematical Tools for Mechanics

   1. Front Matter

      Pages 15-15

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   2. Asymptotic Construction of Solutions of Ordinary Differential Equations with Holomorphic Coefficients in the Neighborhood of an Irregular Singular Point

      • Maria V. Korovina, Vladimir Yu. Smirnov

      Pages 17-22

   3. Poincare Problem and Classification of Irregular Singular Points for Linear Differential Equations with Holomorphic Coefficients

      • Maria V. Korovina, Vladimir Yu. Smirnov

      Pages 23-27

   4. Behavior of Solutions of the Cauchy Problem and the Mixed Initial Boundary Value Problem for an Inhomogeneous Hyperbolic Equation with Periodic Coefficients

      • Hovik A. Matevossian, Giorgio Nordo, Anatoly V. Vestyak

      Pages 29-35

   5. A Soft Embedding Theorem for Soft Topological Spaces

      • Giorgio Nordo

      Pages 37-57

   6. The Diffusion—Vortex Problems in Terms of Stresses for Bingham Materials

      • Dimitri Georgievskii

      Pages 59-65

   7. On the Behavior of Solutions of Quasilinear Elliptic Inequalities Near a Boundary Point

      • Andrej A. Kon’kov

      Pages 67-76

   8. Integrable Dissipative Dynamical Systems with Three and Four Degrees of Freedom

      • Maxim V. Shamolin

      Pages 77-91

4. Modeling, Design, and Computation of Nonlinear Structures

   1. Front Matter

      Pages 93-93

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   2. A Variational Formulation of Classical Nonlinear Beam Theories

      • Simon R. Eugster, Jonas Harsch

      Pages 95-121

   3. Finite Element Analysis of Planar Nonlinear Classical Beam Theories

      • Jonas Harsch, Simon R. Eugster

      Pages 123-157

   4. Modelling of Two-dimensional Timoshenko Beams in Hencky Fashion

      • Emilio Turco

      Pages 159-177

   5. Nonlinear Phenomena in Granular Solids: Modeling and Experiments

      • Marco Laudato

      Pages 179-189

   6. A Tool to Describe Particle System Evolution from Swarm Robotics Behavior

      • Ramiro dell’Erba

      Pages 191-217

   7. Characterization of Polystyrene Under Shear Deformation Using Molecular Dynamics

      • Maximilian Ries, Paul Steinmann, Sebastian Pfaller

      Pages 219-229

   8. Manufacturing and Morphing Behavior of High-Amplitude Corrugated Laminates

      • Gerald Rolf Kress, Daniel Thomas Filipovic

      Pages 231-264

5. Applications of Nonlinear Dynamics

   1. Front Matter

      Pages 265-265

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   2. An FE-BE Method for the Hydroelastic Vibration Analysis of Plates and Shells Partially in Contact with Fluid

      • Ibrahim Tugrul Ardic, Mustafa Erden Yildizdag, Ahmet Ergin

      Pages 267-300

This book features selected manuscripts presented at ICoNSoM 2019, exploring cutting-edge methods for developing novel models in nonlinear solid mechanics. Innovative methods like additive manufacturing—for example, 3D printing— and miniaturization mean that engineers need more accurate techniques for modeling solid body mechanics. The book focuses on the formulation of continuum and discrete models for complex materials and systems, particularly the design of metamaterials. 

• Continuum mechanics
• modeling solid body mechanics
• Homogenization
• Metamaterials
• Elasticity
• IcONSOM
• complexity

• Institute of Mechanics, Technische Universität Berlin, Berlin, Germany

  Bilen Emek Abali

• Department of Mechanical and Aerospace Engineering, University of Rome La Sapienza, LATINA, Italy

  Ivan Giorgio

Bilen Emek Abali is after studying and working at the universities in Istanbul, Munich, Berlin, and Berkeley, currently, B. E. Abali is working as an affiliated researcher at the Ghent University in Belgium. A rigorous scientific and teaching expertise he has obtained over the years as a consequence of working and lecturing in several continents. Among others, he has sponsored courses in mechanics, composite materials, numerical methods, and multiphysics simulations. His first research monograph has been published in Springer entitled as Computational Reality, presenting thermodynamical derivation of coupled phenomena involving thermomechanics with electromagnetism in solid bodies and fluids as well as their computation via the finite element method with the aid of open-source codes developed under the FEniCS project.

Ivan Giorgio is an Italian Mechanician. He received his cum laude degree in mechanical engineering at the University of Rome “La Sapienza” Italy, in2004. He got a Ph.D. degree in Theoretical and Applied Mechanics in 2008 at the University of Rome “La Sapienza” Roma, Italy. He was a professor of Mechanics Applied to Machines at the University of Rome “La Sapienza”, in Latina, Italy, for the period 2017-2019.  He is a tenure-track associate professor (RTDB) at the Dept. of Civil, Construction-Architectural and Environmental Engineering, University of L'Aquila, Italy. His main research activity is focused on Lagrangian Mechanics.

 

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