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Mathematical Applications in Continuum and Structural Mechanics

Part of the Advanced Structured Materials Book Series (volume 127)

Editors: Marmo, Francesco; Sessa, Salvatore; Barchiesi, Emilio; Spagnuolo, Mario

DOI: 10.1007/978-3-030-42707-8

ISBN: 978-3-030-42706-1

Publisher: Springer International Publishing - Springer Journals

Jan 1, 2022

1 - 10 of 13 Chapters

LitStream

Chapter 1Usage of Guided Wave Resonance Phenomena for Defect Detection in Laminate Elastic Structures

Eremin, Artem; Glushkov, Evgeny; Glushkova, Natalia; Lammering, Rolf

Pages: 1 –12

[Since the values of natural scattering resonance frequencies strongly depend on the size and shape of the scatterer, it seems worthwhile to use this information for the enhancement of damage characterization capabilities of SHM systems. In this chapter, potential possibility of such approach is...
LitStream

Chapter 2Modelling of Piezocomposites with Mechanical Interface Effects

Nasedkin, Andrey V.

Pages: 13 –31

[This investigation is devoted to the determination of the material properties of piezoelectric mixed composites with stochastically distributed inclusions or pores and with mechanical imperfect interface, which simulates the nanoscale effects. Finite element package ANSYS was used to simulate...
LitStream

Chapter 3A Mathematical Model for Bone Cell Population Dynamics of Fracture Healing Considering the Effect of Energy Dissipation

Darvishi, Mahziyar; Dadras, Hooman; Mahmoodi Gahrouei, Mohammad; Tabesh, Kiarash; Timofeev, Dmitry

Pages: 33 –52

[The importance of mechanical modeling has been increasing in recent years for almost every area of biological sciences. The process of bone recovery is one of the issues to be addressed within a mechanical framework. In this study, a model for the bone healing process is proposed taking into...
LitStream

Chapter 4Second Gradient Linear and Nonlinear Constitutive Models of Architectured Materials: Static and Dynamic Behaviors

Rahali, Yosra; Reda, Hilal; Vieille, Benoit; Lakiss, Hassan; Ganghoffer, Jean-François

Pages: 53 –71

[We provide in this chapter a synthetic overview of homogenization methods for the setting up of second gradient linear and nonlinear anisotropic continuum media representative of periodic network materials made of beam-type structural elements, considering successively static and dynamic aspects...
LitStream

Chapter 5An Application of Coulomb-Friction Model to Predict Internal Dissipation in Concrete

Aretusi, Giuliano; Ciallella, Alessandro

Pages: 73 –86

[To explore the possibility of proper modeling, the dissipation in specimens made of concrete, a reduced two-degrees-of-freedom model, obtained from a nonlinear micromorphic model is employed in the case of cyclic mono-axial compressive tests. This model assumes that the nonlinear nature of the...
LitStream

Chapter 6From the Swarm Robotics to Material Deformations

D’Avanzo, Paolo; Rapisarda, Alessio Ciro; Sirletti, Salvatore Samuele

Pages: 87 –125

[In this chapter a discrete 2D kinematic system model is presented. Its aim is to reproduce the behavior of several 2D continuum systems. We started from studies on swarm robotics; in these papers, simple interaction laws among the elements of the swarm are used to manage its behavior. We have...
LitStream

Chapter 7A Review of the Class of Bouc-Wen Differential Models for Simulating Mechanical Hysteresis Phenomena

Pellecchia, Davide; Paradiso, Massimo

Pages: 127 –148

[One of the most popular hysteretic models used in many areas of engineering, especially the civil one, is the Bouc-Wen model. Although this model is able to simulate several types of hysteretic phenomena, it cannot describe some typical phenomena, such as cyclic degradation of strength and...
LitStream

Chapter 8A Generalized Formulation of Time Integration Methods for Nonlinear Dynamic Analysis of Hysteretic Mechanical Systems

Pellecchia, Davide; Cesarano, Pasquale

Pages: 149 –172

[The chapter presents a generalized formulation of time integration methods that allow for the numerical solution of the nonlinear equilibrium equations characterizing mechanical systems having hysteretic behavior. Two families of time integration methods are derived from such a generalized...
LitStream

Chapter 9Quasi-Harmonic Solutions for Transversely Isotropic Magneto-Electro-Thermo-Elasticity: A Symbolic Mathematics Approach

Marmo, Francesco; Paradiso, Massimo

Pages: 173 –190

[The behaviour of magneto-electro-thermo-elastic materials is governed by a set of six differential equations in which the piezoelectric, the piezomagnetic, the magnetoelectric and thermal effects are coupled. Under the steady-state condition, this system of equations is homogeneous and can be...
LitStream

Chapter 10Mathematical Tools for the Seismic Analysis of Reinforced Concrete Structures: A Selected Review

Demartino, Cristoforo; Zhou, Sicheng

Pages: 191 –212

[Response spectrum analysis represents the preferential strategy to analyze and design civil engineering structures subjected to seismic actions. Nevertheless, most structural codes were developed by following hand computation-oriented philosophies so that their prescriptions can be hard to be...

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