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Neue Bücher und Zeitschriften 49
The Mathematics of Thermal Modelling: An Introduction to the Theory of
Laser Material Processing
by John Michael Dowden, University of Essex, UK
Understanding and extending the principles behind simple models.
The use of lasers for various applications in materials processing has grown rapidly in recent
years. Lasers are by nature particularly well suited to automation, but to ensure repeatability
and reliability,the engineers employing them must not simply rely on numerical analysis
software.They must have a firm grasp on the physical principles involved. The Mathematics
of Thermal Modelling: An Introduction to the Theory of Laser Material Processing
introduces the mathematics needed to formulate and exploit the physical principles important
to modelling various aspects of laser material processing. The author shows how to gain
insight by constructing and analyzing simple models. He demonstrates how to extract
qualitative information from the models,how the underlying principles can be extended to
more complex modelling,and how these principles can be applied to processes such as laser
welding,surface treatment, drilling, and cutting.Written at a level accessible to graduate
students,this book shows that simple mathematical investigation based primarily on analytical
methods backed by relatively simple numerical methods can greatly illuminate the processes
being studied.Regardless of the stage of your career development,if you are confronting the
modelling of thermal process in this field for the first time,The Mathematics of Thermal
Modelling will build the foundation you need.
Features
• Introduces the mathematics for formulating the physical principles of thermal modelling,
particularly the model ling of laser material processing
• Constructs simple models in laser engineering and shows how to analyze the models and
extract useful qualitative information
• Demonstrates how the underlying ideas can be extended to more complex modelling
• Provides a firm grasp of the fundamentals needed for understanding and using numerical
software packages for more advanced work
• Includes numerous examples and frequent references to the original research literature
ISBN: 1-58488-230-1, $79.95 / £52.99 ,Catalog no. C2301, May 2001, 304 pp.
www.crcpress.com/math
The Thermophysics of Porous Media
by Tim Spanos, University of Alberta, Canada
Pure and Applied Mathematics series
Series edited by A. Jeffrey, H. Brezis, and R. Douglas
Contents
New physical processes predicted by improved, multicomponent theory.
Models for the mechanical behavior of porous media introduced more than 50 years ago are
still relied upon today, but more recent work shows that, in some cases, they may violate the
laws of thermodynamics. In The Thermophysics of Porous Media, the author shows that
physical consistency requires a unique description of dynamic processes that involve porous
media, and that new dynamic variables porosity, saturation, and megascale concentration
naturally enter into the large-scale description of porous media. The new degrees of freedom