Continuum Mechanics of Solids

2020 ◽  
Author(s):  
Lallit Anand ◽  
Sanjay Govindjee
Keyword(s):  
Continuum Mechanics ◽  
Engineering Students ◽  
Solid Mechanics ◽  
Finite Elasticity ◽  
Small Strain ◽  
Mechanics Of Solids ◽  
Infinitesimal Deformation ◽  
Elastomeric Materials ◽  
The Many ◽  
Modern Technologies

Continuum mechanics of Solids presents a unified treatment of the major concepts in Solid Mechanics for beginning graduate students in the many branches of engineering. The fundamental topics of kinematics in finite and infinitesimal deformation, mechanical and thermodynamic balances plus entropy imbalance in the small strain setting are covered as they apply to all solids. The major material models of Elasticity, Viscoelasticity, and Plasticity are detailed and models for Fracture and Fatigue are discussed. In addition to these topics in Solid Mechanics, because of the growing need for engineering students to have a knowledge of the coupled multi-physics response of materials in modern technologies related to the environment and energy, the book also includes chapters on Thermoelasticity, Chemoelasticity, Poroelasticity, and Piezoelectricity. A preview to the theory of finite elasticity and elastomeric materials is also given. Throughout, example computations are presented to highlight how the developed theories may be applied.

scholarly journals Lectures on Solid Mechanics

2008 ◽  
Author(s):  
Claudio Borri ◽  
Michele Betti ◽  
Enzo Marino
Keyword(s):  
Undergraduate Students ◽  
Engineering Students ◽  
Solid Mechanics ◽  
Virtual Work ◽  
Three Dimensional ◽  
Mechanics Of Solids ◽  
Traditional Theory ◽  
Axial Forces ◽  
University Of Florence ◽  
The University

This volume presents the theoretical basics of solid mechanics collecting the lectures held by the Authors for the course of Mechanics of Solids to environmental engineering students at the University of Florence. Lectures on Solid Mechanics is organized in two parts. The first one introduces the theory of three-dimensional elasticity where, after a preparatory synthesis of the basic concepts of mathematics and geometry, the fundamental framework of strain and stress in elastic bodies are introduced. Then the classical law of linear elasticity is presented and finally the part concludes with the "Principle of Virtual Work and variational methods". Moreover, at the end of selected chapters the essential notions of the theory of shells are discussed. The second part concerns the traditional theory of beams focusing on the four fundamental cases: beam under axial forces, terminal couples, torsion, bending and shear. The Readers addressed by this volume are mainly the undergraduate students of Engineering Schools.

An Analog of Einstein’s General Relativity Emerging from Classical Finite Elasticity Theory: Analytical and Computational Issues

2013 ◽  
Vol 14 (3) ◽  
pp. 801-818 ◽  
Author(s):  
C. Cherubini ◽  
S. Filippi
Keyword(s):  
Solid Mechanics ◽  
Finite Elasticity ◽  
Quantum Systems ◽  
Curved Space ◽  
The Past ◽  
Strain Energy Density Function ◽  
Elastic Bodies ◽  
Numerical Studies ◽  
Analogue Gravity ◽  
Nonlinear Constitutive Relation

AbstractThe “analogue gravity formalism”, an interdisciplinary theoretical scheme developed in the past for studying several non relativistic classical and quantum systems through effective relativistic curved space-times, is here applied to largely de-formable elastic bodies described by the nonlinear theory of solid mechanics. Assuming the simplest nonlinear constitutive relation for the elastic material given by a Kirchhoff-St Venant strain-energy density function, it is possible to write for the perturbations an effective space-time metric if the deformation is purely longitudinal and depends on one spatial coordinate only. Theoretical and numerical studies of the corresponding dynamics are performed in selected cases and physical implications of the results obtained are finally discussed.

Finite elasticity of elastomeric materials

2020 ◽  
pp. 637-654
Author(s):  
Lallit Anand ◽  
Sanjay Govindjee
Keyword(s):  
Free Energy ◽  
Constitutive Relations ◽  
Finite Elasticity ◽  
Energy Functions ◽  
Slightly Compressible ◽  
Elastomeric Materials ◽  
Volumetric Response

This chapter presents several technologically important constitutive relations for elastomeric materials. In particular, the Neo-Hookean, Mooney-Rivlin, Ogden, Arruda-Boyce, and Gent free energy functions are discussed in the context of incompressible response. Extensions to the slightly compressible case are also detailed, this includes a presentation of a number of possible volumetric response relations and their properties.

Study On Implementation Of Tablet Computers In Engineering Design Courses

2014 ◽  
Vol 1 (1) ◽  
pp. 137-140
Author(s):  
Daniela Pusca ◽  
Hoda Eiliat
Keyword(s):  
Engineering Students ◽  
Rapid Development ◽  
Tablet Computers ◽  
Student Surveys ◽  
Learning Capacity ◽  
Undergraduate Engineering ◽  
Technological Tools ◽  
Course Material ◽  
Pencil And Paper ◽  
Modern Technologies

AbstractRapid development and employment of modern technologies has changed humankind life style drastically. Education has always been an essential human virtue and a necessity for society. The question of how to engage technological tools in order to expand teaching benefits and increase learning capacity is on the rise. This paper is intended to contribute in assessing usage of stylus and tablet in place of traditional pencil and paper in design oriented engineering courses offered to undergraduate engineering students. The paper presents suggestions for how to use the tablet computers to deliver course material along with results of student surveys on how tablets are being used in class, their usefulness and effectiveness.

Constitutive Modeling of Cartilaginous Tissues: A Review

2006 ◽  
Vol 22 (3) ◽  
pp. 212-229 ◽  
Author(s):  
Zeike A. Taylor ◽  
Karol Miller
Keyword(s):  
Solid Mechanics ◽  
Mechanical Response ◽  
Constitutive Models ◽  
Macroscopic Models ◽  
Cartilaginous Tissues ◽  
Alternative Approach ◽  
Wide Range ◽  
The Many ◽  
High Level ◽  
Traditional Approaches

An important and longstanding field of research in orthopedic biomechanics is the elucidation and mathematical modeling of the mechanical response of cartilaginous tissues. Traditional approaches have treated such tissues as continua and have described their mechanical response in terms of macroscopic models borrowed from solid mechanics. The most important of such models are the biphasic and single-phase viscoelastic models, and the many variations thereof. These models have reached a high level of maturity and have been successful in describing a wide range of phenomena. An alternative approach that has received considerable recent interest, both in orthopedic biomechanics and in other fields, is the description of mechanical response based on consideration of a tissue's structure—so-called microstructural modeling. Examples of microstructurally based approaches include fibril-reinforced biphasic models and homogenization approaches. A review of both macroscopic and microstructural constitutive models is given in the present work.

scholarly journals The DNA Of Materials

2009 ◽  
Vol 6 (4) ◽  
Author(s):  
Wathiq N. Abdul-Razzaq ◽  
Ryan K. Bushey
Keyword(s):  
West Virginia ◽  
Engineering Students ◽  
West Virginia University ◽  
Hands On ◽  
The Many ◽  
Learn Physics ◽  
Engineering Practices ◽  
Physics Course ◽  
Physics Labs ◽  
Engineering Physics

Introductory physics labs provide many challenging yet applicable experiments and concepts to the many fields of engineering.  One such lab has been developed at West Virginia University that explores resistivities of several different materials and ties this concept into electrical engineering practices and standards.  Many students do not realize that resistivity is a very significant quantity that contributes greatly to the understanding of natural as well as man-made materials; it is the DNA of materials. This lab provides engineering students an opportunity to not only learn physics of materials, but to also gain real-world experience and understanding of why certain materials are used in electronic devices and when designing and constructing buildings.  This lab has been implemented in several introductory lab levels here at West Virginia University, and all have been met with enthusiasm and strong participation.  In our pre-engineering physics course, this has been especially effective, as it has given the students some hands-on experience with physics principles that they will make use of in their future careers.

scholarly journals AN OPEN-ENDED DESIGN-BASED LAB EXERCISE FOR A FIRST THERMOFLUIDS COURSE

2017 ◽  
Author(s):  
Michele Hastie ◽  
Jan Haelssig
Keyword(s):  
Creative Thinking ◽  
Engineering Students ◽  
Team Work ◽  
Work Skills ◽  
Theoretical Concepts ◽  
First Semester ◽  
Design Project ◽  
Hands On ◽  
Hands On Learning ◽  
The Many

The Thermo-Fluid Engineering I course provides all first-semester second-year engineering students at Dalhousie University with a basic introduction to thermodynamics and fluid mechanics. In the past three years, we have used a combination of six traditional laboratory exercises and a short four-week design project to provide students with hands-on learning experiences in this course. In general, these projects have been well-received by students as a welcome break from the many abstract theoretical concepts that are normally associated with introductory thermodynamics. However, two of the continuing challenges with these projects have been the students’ limited engineering design experience and the availability of time to perform a design project. To address these challenges, in the fall 2015 offering of Thermo-Fluid Engineering I, the four-week design project was replaced by an open-ended design-based lab exercise.The open-ended lab exercise required groups of students to develop specific laboratory experiments related to thermodynamics and fluid dynamics, given a limited quantity of resources. While the focus shifted away from a traditional short design project, the open-ended lab exercise continues to allow students to develop their creative thinking, critical analysis, hands-on, communication, and team work skills, which was the primary purpose of the short design projects in the first place.

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