Mechanics Material

This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering.

This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. In particular, it features mathematical methods and models of applied analysis, probability theory, differential equations, tensor analysis and computational modelling used in applications to important problems concerning electromagnetics, antenna technologies, fluid dynamics, material and continuum physics and financial engineering.

This book addresses issues pertinent to mechanics and stress generation, especially in recent advanced cases of technology developments, spanning from micrometer interconnects in solar photovoltaics (PV), next-gen energy storage devices to multilayers of nano-scale composites enabling novel stretchable/flexible conductor technologies. In these cases, the mechanics of materials have been pushed to the extreme edges of human knowledge to enable cutting-edge, unprecedented functionalities and technological innovations. Synchrotron X-ray diffraction, in situ small-scale mechanical testing combined with physics-based computational modeling/simulation, has been widely used approaches to probe these mechanics of the materials at their extreme limits due to their recently discovered distinct advantages.

Based on examination board syllabuses, the material on this disc provides comprehensive coverage of the essential Mechanics material, understanding of which is vital for success. The thirteen sections listed below each contain several topic areas, providing support for those studying modular and linear courses - sufficient for a double module in Mechanics. Immediate feedback on understanding is provided by hundreds of test questions, all of which have a model solution available if required. Testing yourself with these questions is designed to be an integral part of the learning process. Progress within each section is reported on the final screen. Exam-style questions, with model solutions are provided in each section.

The world requires an increasing number of underground facilities for applications such as storage, waste repositories and traffic. Accurate prediction of the stability and deformation of these facilities is essential, and calls for model calculations using reliable and comprehensive constitutive equations describing the mechanical behaviour of the rocks involved, particularly the time-dependent effects.