The book contains a structured collection of complete solutions to all relevant plane contact problems. Classic profiles – such as the cylinder, the wedge, or the rectangular flat punch – are considered under centric and eccentric loading, but also a variety of other technically relevant shapes, such as the flat punch with rounded edges, the wedge with rounded tip, or wavy surfaces. With regard to the load configuration, adhesive and non-adhesive normal contacts, tangential contacts, and r...

This book describes for the first time a simulation method for the fast calculation of contact properties and friction between rough surfaces in a complete form. In contrast to existing simulation methods, the method of dimensionality reduction (MDR) is based on the exact mapping of various types of three-dimensional contact problems onto contacts of one-dimensional foundations. Within the confines of MDR, not only are three dimensional systems reduced to one-dimensional, but also the resu...

Since the pioneering work of Donald and his first Lancet paper in 1958, the use of ultrasound in obstetrics and gynaecology has evolved rap idly. The introduction of grey scale techniques enhanced our ability to identify different tissues on the basis of their texture. However, it was the introduction of the linear array real-time scanner in the mid seven ties that changed ultrasound from being an "eccentric art form" to a readily available and usable technique. This led to the first repor...

This open access book gathers authoritative contributions concerning multiscale problems in biomechanics, geomechanics, materials science and tribology. It is written in memory of Sergey Grigorievich Psakhie to feature various aspects of his multifaceted research interests, ranging from theoretical physics, computer modeling of materials and material characterization at the atomic scale, to applications in space industry, medicine and geotectonics, and including organizational, psychologic...

Look for The Land of Sweet Forever, a posthumous collection of newly discovered short stories and previously published essays and magazine pieces by Harper Lee, coming October 21, 2025.Voted America's Best-Loved Novel in PBS's The Great American ReadHarper Lee's Pulitzer Prize-winning masterwork of honor and injustice in the deep South—and the heroism of one man in the face of blind and violent hatred...

The Wolfram language is the programming language of Mathematica, used increasingly by scientists due to its ease of learning and user-friendliness. This book focuses on applications of the Wolfram language to applied mathematics, physics and chemistry. Topics discussed are broad and comprehensive, from differential equations and special functions to fractals and chess, from electromagnetism and optics to relativity and black holes. There is also extensive coverage of quantum theory and qua...

Forces of the Quantum Vacuum presents a number of theoretical approaches to Casimir, van der Waals and Casimir-Polder forces that have been fruitfully employed in mainstream research, and also reviews the experimental evidence for Casimir forces. Beginning with basic ideas in quantum mechanics and building its way to a sophisticated form of macroscopic QED, the book provides an inspiring training manual for graduate students to develop in a natural progression the ideas needed for modern t...

The book starts with a vivid explanation of the mathematical prerequisites (in particular the operations gradient, divergence and curl). Next, are parts on Electrostatics and Magnetostatics where the handling of field equations is practiced in detail.The book then introduces Maxwell's equations with emphasis on their relativistic structure. The relativistic form of these equations are then exploited for various applications, like waves and radiation phenomena.For the quasi-...

Rudolf P. Huebener presents the field of superconductivity research in a clear and compact way. He vividly describes how this area has developed in many directions since the discovery of superconductivity more than 100 years ago. This concerns materials, experiments on the physical principles, theoretical understanding and technical applications. Among other things, the essential deals with the Meissner-Ochsenfeld effect, magnetic flux quantization, the Josephson effect, the BCS theory and...

This book deals with singular solutions that appear in the vicinity of maximum friction surfaces for several rigid plastic models. In particular, it discusses precise asymptotic expansions as a necessary ingredient for the development of efficient numerical methods to solve boundary value problems that involve the maximum friction law as a boundary condition. An applied aspect of the singular solutions considered is that these solutions are capable of predicting the development of narrow h...

This book provides a detailed yet comprehensive presentation of the theory of periodic conjugate heat transfer. It contains an analytical approach to the effects of thermophysical and geometrical properties of a solid body on the experimentally determined heat transfer coefficient. The main objective of the book is a simplified description of the interaction between a solid body and a fluid as a boundary value problem of the heat conduction equation.This third and extended edition ...

This present book is concerned with analytical approaches to statement and solution of problems of non-equilibrium evaporation and condensation. From analytical solutions, one is capable to understand and represent in a transparent form the principal laws, especially in the study of a new phenomenon or a process. This is why analytical methods are always employed on the first stage of mathematical modeling. Analytical solutions are also used as test models for validation of results numeric...