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This distinctive textbook aims to introduce readers to the basic structures of the mechanics of deformable bodies, with a special emphasis on the description of the elastic behavior of simple materials and structures composed by elastic beams. The authors take a deductive rather than inductive approach and start from a few first, foundational principles. A wide selection of exercises, many with hints and solutions, are provided throughout and organized in a way that will allow readers to form a link between abstract mathematical concepts and real-world applications. The text begins with the definition of bodies and deformations, keeping the kinematics of rigid bodies as a special case; the authors also distinguish between material and spatial metrics, defining each one in the pertinent space. Subsequent chapters cover observers and classes of possible changes; forces, torques, and related balances, which are derived from the invariance under classical changes in observers of the power of the external actions over a body, rather than postulated a priori; constitutive structures; variational principles in linear elasticity; the de Saint-Venant problem; yield criteria and a discussion of their role in the representation of material behavior; and an overview of some bifurcation phenomena, focusing on the Euler rod. An appendix on tensor algebra and tensor calculus is included for readers who need a brief refresher on these topics. Fundamentals of the Mechanics of Solids is primarily intended for graduate and advanced undergraduate students in various fields of engineering and applied mathematics. Prerequisites include basic courses in calculus, mathematical analysis, and classical mechanics. [Publisher]

Mathematics --- Mathematical physics --- Classical mechanics. Field theory --- Solid state physics --- Applied physical engineering --- toegepaste mechanica --- wiskunde --- fysica --- mechanica --- Continuum mechanics. --- Elastic solids. --- Milieux continus, Mécanique des --- Solides élastiques --- Milieux continus, Mécanique des --- Solides élastiques

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Recently, a new research stimulus has derived from the observation that soft structures, such as biological systems, but also rubber and gel, may work in a post critical regime, where elastic elements are subject to extreme deformations, though still exhibiting excellent mechanical performances. This is the realm of ‘extreme mechanics’, to which this book is addressed. The possibility of exploiting highly deformable structures opens new and unexpected technological possibilities. In particular, the challenge is the design of deformable and bi-stable mechanisms which can reach superior mechanical performances and can have a strong impact on several high-tech applications, including stretchable electronics, nanotube serpentines, deployable structures for aerospace engineering, cable deployment in the ocean, but also sensors and flexible actuators and vibration absorbers. Readers are introduced to a variety of interrelated topics involving the mechanics of extremely deformable structures, with emphasis on bifurcation, instability and nonlinear behavior, both in the quasi-static and dynamic regimes. Essential and up-to-date theoretical, numerical, and experimental methodologies are covered, as a tool to progress towards a satisfactory modeling of the nonlinear behavior of structures.

Engineering. --- Structural Mechanics. --- Engineering Design. --- Mechanical engineering. --- Engineering design. --- Ingénierie --- Génie mécanique --- Conception technique --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Structural dynamics. --- Deformations (Mechanics) --- Building dynamics --- Dynamics, Structural --- Structural vibration --- Structural mechanics. --- Strains and stresses --- Structural analysis (Engineering) --- Elastic solids --- Mechanics --- Rheology --- Structural failures --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Design, Engineering --- Engineering --- Industrial design --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Design

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This report presents the Round-Robin (RR) program and test results including a statistical evaluation of the RILEM TC195-DTD committee named “Recommendation for test methods for autogenous deformation (AD) and thermal dilation (TD) of early age concrete”. The task of the committee was to investigate the linear test set-up for AD and TD measurements (Dilation Rigs) in the period from setting to the end of the hardening phase some weeks after. These are the stress-inducing deformations in a hardening concrete structure subjected to restraint conditions. The main task was to carry out an RR program on testing of AD of one concrete at 20 °C isothermal conditions in Dilation Rigs. The concrete part materials were distributed to 10 laboratories (Canada, Denmark, France, Germany, Japan, The Netherlands, Norway, Sweden and USA), and in total 30 tests on AD were carried out. Some supporting tests were also performed, as well as a smaller RR on cement paste. The committee has worked out a test procedure recommendation which is reported separately and submitted acceptance as a RILEM method.

Engineering. --- Building Materials. --- Structural Materials. --- Theoretical and Applied Mechanics. --- Mechanics, applied. --- Building construction. --- Materials. --- Ingénierie --- Matériaux --- Concrete --- Testing. --- Construction industry -- Environmental aspects. --- Recycling (Waste). --- Salvage (Waste, etc.). --- Chemical & Materials Engineering --- Engineering & Applied Sciences --- Materials Science --- Deformations (Mechanics) --- Mechanics. --- Mechanics, Applied. --- Building materials. --- Structural materials. --- Elastic solids --- Mechanics --- Rheology --- Strains and stresses --- Structural failures --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Materials --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Architectural materials --- Architecture --- Building --- Building supplies --- Buildings --- Construction materials --- Structural materials

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The book provides suitable methods for the simulations of boundary value problems of geotechnical installation processes with reliable prediction for the deformation behavior of structures in static or dynamic interaction with the soil. It summarizes the basic research of a research group from scientists dealing with constitutive relations of soils and their implementations as well as contact element formulations in FE-codes. Numerical and physical experiments are presented providing benchmarks for future developments in this field. Boundary value problems have been formulated and solved with the developed tools in order to show the effectivity of the methods. Parametric studies of geotechnical installation processes in order to identify the governing parameters for the optimization of the process are given in such a way that the findings can be recommended to practice for further use. For many design engineers in practice the assessment of the serviceability of nearby structures due to geotechnical installation processes is a very challenging task. Some hints about possible effects and their consideration are given in this book which may provide a help for such estimations which are still not possible to be given in a satisfactory manner.

Engineering. --- Geoengineering, Foundations, Hydraulics. --- Geotechnical Engineering & Applied Earth Sciences. --- Continuum Mechanics and Mechanics of Materials. --- Materials. --- Hydraulic engineering. --- Ingénierie --- Matériaux --- Technologie hydraulique --- Civil & Environmental Engineering --- Mechanical Engineering --- Engineering & Applied Sciences --- Civil Engineering --- Hydraulic Engineering --- Geotechnical engineering. --- Continuum mechanics. --- Engineering geology. --- Engineering --- Foundations. --- Hydraulics. --- Geology. --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Engineering, Hydraulic --- Fluid mechanics --- Hydraulics --- Shore protection --- Deformations (Mechanics) --- Elastic solids --- Mechanics --- Rheology --- Strains and stresses --- Structural failures --- Engineering, Geotechnical --- Geotechnics --- Geotechnology --- Engineering geology --- Engineering—Geology. --- Flow of water --- Water --- Hydraulic engineering --- Jets --- Architecture --- Building --- Structural engineering --- Underground construction --- Caissons --- Earthwork --- Masonry --- Soil consolidation --- Soil mechanics --- Walls --- Civil engineering --- Geology, Economic --- Flow --- Distribution --- Details --- Geology

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This book summarizes the main methods of experimental stress analysis and examines their application to various states of stress of major technical interest, highlighting aspects not always covered in the classic literature. It is explained how experimental stress analysis assists in the verification and completion of analytical and numerical models, the development of phenomenological theories, the measurement and control of system parameters under operating conditions, and identification of causes of failure or malfunction. Cases addressed include measurement of the state of stress in models, measurement of actual loads on structures, verification of stress states in circumstances of complex numerical modeling, assessment of stress-related material damage, and reliability analysis of artifacts (e.g. prostheses) that interact with biological systems. The book will serve graduate students and professionals as a valuable tool for finding solutions when analytical solutions do not exist.

Engineering. --- Continuum Mechanics and Mechanics of Materials. --- Characterization and Evaluation of Materials. --- Machinery and Machine Elements. --- Measurement Science and Instrumentation. --- Biomedical Engineering. --- Materials. --- Biomedical engineering. --- Surfaces (Physics). --- Ingénierie --- Matériaux --- Génie biomédical --- Surfaces (Physique) --- Engineering & Applied Sciences --- Chemical & Materials Engineering --- Applied Mathematics --- Materials Science --- Strength of materials. --- Strains and stresses --- Simulation methods. --- Architectural engineering --- Engineering, Architectural --- Stresses and strains --- Materials, Strength of --- Resistance of materials --- Physical measurements. --- Measurement. --- Continuum mechanics. --- Machinery. --- Materials science. --- Architecture --- Elastic solids --- Flexure --- Mechanics --- Statics --- Structural analysis (Engineering) --- Deformations (Mechanics) --- Elasticity --- Engineering design --- Graphic statics --- Strength of materials --- Stress waves --- Structural design --- Building materials --- Testing --- Mechanics. --- Mechanics, Applied. --- Solid Mechanics. --- Biomedical Engineering and Bioengineering. --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Construction --- Industrial arts --- Technology --- Physics --- Surface chemistry --- Surfaces (Technology) --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Measurement   . --- Measuring --- Mensuration --- Mathematics --- Metrology --- Physical measurements --- Measurements, Physical --- Mathematical physics --- Measurement --- Machinery --- Machines --- Manufactures --- Power (Mechanics) --- Mechanical engineering --- Motors --- Power transmission --- Material science --- Physical sciences --- Curious devices