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This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It also presents the necessary mathematical framework, namely tensor algebra and tensor calculus, by using an inductive approach, which makes it particularly suitable for beginners. In general, the book can be used in undergraduate classes on continuum theory and, more specifically, in courses on continuum mechanics, for students of physics and engineering alike. The benefits for the readers consist of providing a sound basis of the subject as a whole and of training their ability for solving specific problems in a rational manner. For this purpose the general laws of nature in terms of the balances for mass, momentum, and energy are applied and combined with constitutive relations, which are material specific. Various examples and homework problems illustrate how to use the theory in daily practice. Numerous mini-biographies have been added to the mathematical text for diversion and amusement.

Classical continuum physics. --- Continuum mechanics. --- Engineering. --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Continuum mechanics --- Fluid mechanics. --- Electromagnetism --- Mathematical models. --- Mathematics. --- Hydromechanics --- Mechanics of continua --- Continuum physics. --- Mechanics. --- Mechanics, Applied. --- Materials science. --- Theoretical and Applied Mechanics. --- Classical Continuum Physics. --- Materials Science, general. --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Mechanics, applied. --- Materials. --- Classical and Continuum Physics. --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Materials --- Material science --- Physical sciences --- Classical field theory --- Continuum physics --- Physics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory

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This book presents various solutions modeling in the performance and behavior of advanced materials and engineering structures. In this book, famous scientists in the field of materials mechanics share their knowledge in honor of the late Professor of Mechanics Klaus-Peter Herrmann from the University of Paderborn. This book discusses in particular topics like fracture and damage mechanics, numerical mathematics and computational simulations, and mechanics and thermodynamics of advanced materials.

Continuum mechanics. --- Materials --- Mechanics, Applied. --- Solids. --- Materials. --- Continuum Mechanics. --- Materials Fatigue. --- Solid Mechanics. --- Materials Engineering. --- Fatigue.

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This book commemorates the 75th birthday of Prof. George Jaiani – Georgia’s leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams. Chapter 20 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Shells (Engineering) --- Boundary value problems. --- Mathematical models. --- Boundary conditions (Differential equations) --- Differential equations --- Functions of complex variables --- Mathematical physics --- Initial value problems --- Structural shells --- Elastic plates and shells --- Structural analysis (Engineering) --- Plates (Engineering) --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Mathematical Modeling and Industrial Mathematics. --- Models, Mathematical --- Simulation methods --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory

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This brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. Studying these problems results in severe computational difficulties due to partial differential equations with variable coefficients resulting from the constitutive relations of the original model. To solve this problem the book uses spline-collocation and discrete-orthogonalization methods. It analyses the influence of geometrical and mechanical parameters, of various kinds of boundary conditions, and of the loading conditions on the distributions of stress and displacement fields in shallow, spherical, conical, and noncircular cylindrical shells. The dependence of the stress-strain pattern on shell thickness variations is studied. The authors solve the problem also for the case of the thickness varying in two directions. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered. The results obtained during numerous calculations support the efficiency of the discrete-orthogonalization approach proposed in the monograph for solving static problems for anisotropic inhomogeneous shells when using the refined model.

Engineering. --- Mathematical models. --- Continuum mechanics. --- Continuum Mechanics and Mechanics of Materials. --- Mathematical Modeling and Industrial Mathematics. --- Shells (Engineering) --- Structural shells --- Elastic plates and shells --- Structural analysis (Engineering) --- Plates (Engineering) --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Models, Mathematical --- Simulation methods

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This book presents a collection of contributions on the advanced mechanics of materials and mechanics of structures approaches, written in honor of Professor Kienzler. It covers various topics related to constitutive models for advanced materials, recent developments in mechanics of configuration forces, as well as new approaches to the efficient modeling and analysis of engineering structures. .

Engineering. --- Continuum mechanics. --- Structural mechanics. --- Materials science. --- Continuum Mechanics and Mechanics of Materials. --- Characterization and Evaluation of Materials. --- Structural Mechanics. --- Material science --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Mechanics of continua --- Construction --- Composite materials --- Mechanical properties. --- Mechanics. --- Mechanics, Applied. --- Surfaces (Physics). --- Solid Mechanics. --- Physics --- Surface chemistry --- Surfaces (Technology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Physical sciences