1st Edition
by Seiichi Nomura (Author)
Demonstrates the simplicity and effectiveness of Mathematica as the solution to practical problems in composite materials.
Designed
for those who need to learn how micromechanical approaches can help
understand the behaviour of bodies with voids, inclusions, defects, this
book is perfect for readers without a programming background.
Thoroughly introducing the concept of micromechanics, it helps readers
assess the deformation of solids at a localized level and analyse a body
with microstructures. The author approaches this analysis using the
computer algebra system Mathematica, which facilitates complex index
manipulations and mathematical expressions accurately.
The book
begins by covering the general topics of continuum mechanics such as
coordinate transformations, kinematics, stress, constitutive
relationship and material symmetry. Mathematica programming is also
introduced with accompanying examples. In the second half of the book,
an analysis of heterogeneous materials with emphasis on composites is
covered.
Takes a practical approach by using Mathematica, one of the most popular programmes for symbolic computation
- Introduces the concept of micromechanics with worked-out examples using Mathematica code for ease of understanding
- Logically begins with the essentials of the topic, such as kinematics and stress, before moving to more advanced areas
- Applications
covered include the basics of continuum mechanics, Eshelby's method,
analytical and semi-analytical approaches for materials with inclusions
(composites) in both infinite and finite matrix media and thermal
stresses for a medium with inclusions, all with Mathematica examples
- Features a problem and solution section on the book’s companion website, useful for students new to the programme
