En -Mase - Continuum Mechanics For Engineers

Preface

It is fitting to start this, the preface to our second edition, by thanking all of

those who used the text over the last six years. Thanks also to those of you

who have inquired about this revised and expanded version. We hope that

you find this edition as helpful as the first to introduce seniors or graduate

students to continuum mechanics.

The second edition, like its predecessor, is an outgrowth of teaching continuum

mechanics to first- or second-year graduate students. Since my father

is now fully retired, the course is being taught to students whose final degree

will most likely be a Masters at Kettering University. A substantial percentage

of these students are working in industry, or have worked in industry,

when they take this class. Because of this, the course has to provide the students

with the fundamentals of continuum mechanics and demonstrate its

applications.

Very often, students are interested in using sophisticated simulation programs

that use nonlinear kinematics and a variety of constitutive relationships.

Additions to the second edition have been made with these needs in

mind. A student who masters its contents should have the mechanics foundation

necessary to be a skilled user of today’s advanced design tools such as

nonlinear, explicit finite elements. Of course, students need to augment the

mechanics foundation provided herein with rigorous finite element training.

Major highlights of the second edition include two new chapters, as well as

significant expansion of two other chapters. First, Chapter Five,

Fundamental Laws and Equations, was expanded to add material regarding

constitutive equation development. This includes material on the second law

of thermodynamics and invariance with respect to restrictions on constitutive

equations. The first edition applications chapter covering elasticity and

fluids has been split into two separate chapters. Elasticity coverage has been

expanded by adding sections on Airy stress functions, torsion of noncircular

cross sections, and three-dimensional solutions. A chapter on nonlinear

elasticity has been added to give students a molecular and phenomenological

introduction to rubber-like materials. Finally, a chapter introducing students

to linear viscoelasticity is given since many important modern polymer

applications involve some sort of rate dependent material response.

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