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Current Trends and Open Problems in Computational Mechanics
This Festschrift is dedicated to Professor Dr.-Ing. habil. Peter Wriggers on the occasion of his 70th birthday. Thanks to his high dedication to research, over the years Peter Wriggers has built an international network with renowned experts in the field of computational mechanics. This is proven by the large number of contributions from friends and collaborators as well as former PhD students from all over the world. The diversity of Peter Wriggers network is mirrored by the range of topics that are covered by this book. To name only a few, these include contact mechanics, finite & virtual element technologies, micromechanics, multiscale approaches, fracture mechanics, isogeometric analysis, stochastic methods, meshfree and particle methods. Applications of numerical simulation to specific problems, e.g. Biomechanics and Additive Manufacturing is also covered. The volume intends to present an overview of the state of the art and current trends in computational mechanics for academia and industry.
Simulation of Additive Manufacturing using Meshfree Methods
This book provides a detailed instruction to virtually reproduce the processes of Additive Manufacturing on a computer. First, all mathematical equations needed to model these processes are presented. Due to their flexibility, meshfree methods represent optimal computational solution schemes to simulate Additive Manufacturing processes. On the other hand, these methods usually do not guarantee an accurate solution. For this reason, this monograph is dedicated in detail to the necessary criteria for computational solution schemes to provide accurate results. Several meshfree methods are examined with respect to these conditions. Two different 3D printing techniques are presented in detail. The results obtained from the simulation are investigated and compared with experimental data. This work is addressed to both scientists and professionals working in the field of development who are interested to learn the secrets behind meshfree methods or get into the modeling of Additive Manufacturing.
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers
This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to appl...
The Persian Mirror
The Persian Mirror explores France's preoccupation with Persia in the seventeenth century. Long before Montesquieu's Persian Letters, French intellectuals, diplomats and even ordinary Parisians were fascinated by Persia and eagerly consumed travel accounts, fairy tales, and the spectacle of the Persian ambassador's visit to Paris and Versailles in 1715. Using diplomatic sources, fiction and printed and painted images, The Persian Mirror describes how the French came to see themselves in Safavid Persia. In doing so, it revises our notions of orientalism and the exotic and suggests that early modern Europeans had more nuanced responses to Asia than previously imagined.
Resilience Thinking in Urban Planning
There is consensus in literature that urban areas have become increasingly vulnerable to the outcomes of economic restructuring under the neoliberal political economic ideology. The increased frequency and widening diversity of problems offer evidence that the socio-economic and spatial policies, planning and practices introduced under the neoliberal agenda can no longer be sustained. As this shortfall was becoming more evident among urban policymakers, planners, and researchers in different parts of the world, a group of discontent researchers began searching for new approaches to addressing the increasing vulnerabilities of urban systems in the wake of growing socio-economic and ecological...
The Lefschetz Properties
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.
Microbial Biofilms
Biochemistry and ecology of biofilms from industrial, medical and other viewpoints.
Configurational Forces as Basic Concepts of Continuum Physics
Included is a presentation of configurational forces within a classical context and a discussion of their use in areas as diverse as phase transitions and fracture.
Automation of Finite Element Methods
New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especially for nonlinearformulations. The automation of this process can help to speed up this processconsiderably since the generation of the final computer code can be accelerated by order ofseveral magnitudes.This book provides the reader with the required knowledge needed to employ modernautomatic tools like AceGen within solid mechanics in a successful way. It covers the rangefrom the theoretical background, algorithmic treatments to many different applications. Thebook is written for advanced students in the engineering field and for researchers ineducational and industrial environments.
