Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book shows impressively how complex mathematical modeling of materials can be applied to technological problems. Top-class researchers present the theoretical approaches in modern mechanics and apply them to real-world problems in solid mechanics, creep, plasticity, fracture, impact, and friction. They show how they can be applied to technological challenges in various fields like aerospace technology, biological sciences and modern engineering materials.

Materials --- Mechanical properties --- Mathematical models. --- Engineering --- Engineering materials --- Industrial materials --- Engineering. --- Continuum mechanics. --- Materials science. --- Continuum Mechanics and Mechanics of Materials. --- Characterization and Evaluation of Materials. --- Materials Engineering. --- Materials. --- Engineering design --- Manufacturing processes --- 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 --- Engineering—Materials. --- Material science --- Physical sciences

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book shows impressively how complex mathematical modeling of materials can be applied to technological problems. Top-class researchers present the theoretical approaches in modern mechanics and apply them to real-world problems in solid mechanics, creep, plasticity, fracture, impact, and friction. They show how they can be applied to technological challenges in various fields like aerospace technology, biological sciences and modern engineering materials.

Classical mechanics. Field theory --- Solid state physics --- Physics --- Surface chemistry --- Materials sciences --- Applied physical engineering --- materiaalkennis --- oppervlakte-onderzoek --- toegepaste mechanica --- mechanica

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Among the variety of wave motions one can single out surface wave propagation since these surface waves often adjust the features of the energy transfer in the continuum (system), its deformation and fracture. Predicted by Rayleigh in 1885, surface waves represent waves localized in the vicinity of extended boundaries (surfaces)of fluids or elastic media. In the ideal case of an isotropic elastic half-space while the Rayleigh waves propagate along the surface, the wave amplitude (displacement) in the transverse direction exponentially decays with increasing distance away from the surface. As a result the energy of surface perturbations is localized by the Rayleigh waves within a relatively narrow layer beneath the surface. It is this property of the surface waves that leads to the resonance phenomena that accompany the motion of the perturbation sources (like surface loads) with velocities close to the Rayleigh one; (see e. g. , R. V. Goldstein. Rayleigh waves and resonance phenomena in elastic bodies. Journal of Applied Mathematics and Mechanics (PMM), 1965, v. 29, N 3, pp. 608-619). It is essential to note that resonance phenomena are also inherent to the elastic medium in the case where initially there are no free (unloaded) surfaces. However, they occur as a result of an external action accompanied by the violation of the continuity of certain physical quantities, e. g. , by crack nucleation and dynamic propagation. Note that the aforementioned resonance phenomena are related to the nature of the surface waves as homogeneous solutions (eigenfunctions) of the dynamic elasticity equations for a half-space (i. e. nonzero solutions at vanishing boundary conditions).

Acoustic surface waves --- Elasticity --- Waves, Acoustic surface --- Waves, Elastic surface --- Elastic waves --- Sound-waves --- Surface waves (Oceanography) --- Ondes acoustiques de surface --- Elasticité --- Congresses --- Congresses. --- Congrès --- Congrés --- EPUB-LIV-FT LIVINGEN SPRINGER-B --- Vibration. --- Surfaces (Physics). --- Crystallography. --- Mathematics. --- Vibration, Dynamical Systems, Control. --- Characterization and Evaluation of Materials. --- Crystallography and Scattering Methods. --- Applications of Mathematics. --- Math --- Science --- Leptology --- Physical sciences --- Mineralogy --- Physics --- Surface chemistry --- Surfaces (Technology) --- Cycles --- Mechanics --- Sound --- Dynamical systems. --- Dynamics. --- Materials science. --- Applied mathematics. --- Engineering mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Material science --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics