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Includes topics that ranges from spatial and temporal discretization techniques for contact and impact problems with small and finite deformations over investigations on the reliability of micromechanical contact models over emerging techniques for rolling contact mechanics to homogenization methods and multi-scale approaches in contact problems.
The papers in this volume start with a description of the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,¿), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.
The papers in this volume deal with materials science, theoretical mechanics and experimental and computational techniques at multiple scales, providing a sound base and a framework for many applications which are hitherto treated in a phenomenological sense.
Presents a range of contemporary problems in inverse scattering involving acoustic, elastic and electromagnetic waves.
The renovation and rehabilitation of existing constructions together with the preservation and restoration of the architectural heritage are, in fact, activities which deserve particular attention by people involved in both design and constructional process.
The treatment of this subject has its roots in previous studies of instability and bifurcation in elastic, thermoelastic or elastic-plastic bodies, and in previous mathematical, mechanical and computational studies of unilateral problems.
A machine vision system should be able to analyze images and produce descriptions of what it "sees". Applications include geophysical image analysis, robotics, sparse image understanding, biomedical applications.
Dynamical Inverse Problems presents an overview of the general aspects and practical applications of dynamic inverse methods. Topics include classical and advanced inverse problems in vibration, dynamic methods for structural identification, and more.
Microfluidics is a microtechnological field dealing with the precise transport of fluids (liquids or gases) in small amounts (e.g. microliters, nanoliters or even picoliters). This book provides a useful introduction into this burgeoning field, and a specific application of microfluidics is presented. It also gives a survey of microfluidics.
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