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  • 1
    Online Resource
    Online Resource
    Homogenization Techniques for Composite Media : Lectures Delivered at the CISM International Center for Mechanical Sciences Udine, Italy, July 1-5, 1985 (1987)
    Berlin, Heidelberg : Springer Berlin Heidelberg
    Details Availability
    Keywords: Physics ; Mechanics ; Physics ; Mechanics ; Physics ; Mechanics
    Description / Table of Contents: Homogenization in elasticity -- Models of plates -- Periodic plates -- Macroscopic heat conduction in a fibered body Case of highly conducting fibers at dilute concentration -- to homogenization theory -- Fluids in porous media Darcy's law -- Acoustics in elastic porous media -- Suspension of particles in a viscous fluid -- General introduction to asymptotic methods -- Boundary layers in thermal conduction and elasticity -- Layered plates in traction. Boundary layers -- Singularities in elliptic non smooth problems -- Examples of singularities in thermal conduction and elasticity -- Elastic body with defects distributed near a surface -- Averages, boundary conditions -- Linear problems -- Failure of ductile heterogeneous materials -- Elastic perfectly plastic constituents -- Linear elasticity -- A matrix-inclusion composite -- Closure assumptions -- Variational principles -- Some elementary bounds -- Dynamic problems -- Basic physical data of polycrystal plasticity -- Taylor-type modelling of polycrystal plasticity -- Self-consistent modelling of polycrystal plasticity -- Extended space distribution sensitive self-consistent schemes
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource
    Edition: Springer eBook Collection. Physics and Astronomy
    ISBN: 9783540477204 , 9783540176169
    Series Statement: Lecture Notes in Physics 272
    URL: http://dx.doi.org/10.1007/3-540-17616-0
    URL: https://zbmath.org/?q=an:0619.00027
    DOI: 10.1007/3-540-17616-0
    Language: English
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  • 2
    Online Resource
    Online Resource
    Non-Homogeneous Media and Vibration Theory (1980)
    Berlin, Heidelberg : Springer Berlin Heidelberg
    Details Availability
    Keywords: Physics ; Acoustics ; Physics ; Acoustics ; Physics ; Acoustics
    Description / Table of Contents: Distributions and Sobolev spaces -- Operators in Banach spaces -- Examples of boundary value problems -- Semigroups and laplace transform -- Homogenization of second order equations -- Homogenization in elasticity and electromagnetism -- Fluid flow in porous media -- Vibration of mixtures of solids and fluids -- Examples of perturbations for elliptic problems -- The Trotter-Kato theorem and related topics -- Spectral perturbation. Case of isolated eigenvalues -- Perturbation of spectral families and applications to selfadjoint eigenvalue problems -- Stiff problems in constant and varialbe domains -- Averaging and two-scale methods -- Generalities and potential method -- Functional methods -- Scattering problems depending on a parameter
    Type of Medium: Online Resource
    Pages: 1 Online-Ressource (IX, 400 p. 3 illus)
    Edition: Springer eBook Collection. Physics and Astronomy
    ISBN: 9783540393177 , 9783540100003
    Series Statement: Lecture Notes in Physics 127
    URL: http://dx.doi.org/10.1007/3-540-10000-8
    DOI: 10.1007/3-540-10000-8
    Language: English
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  • 3
    Electronic Resource
    Electronic Resource
    On the rigidity of certain surfaces with folds and applications to shell theory (1995)
    Springer
    Archive for rational mechanics and analysis 129 (1995), S. 11-45 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract In the asymptotic theory of thin elastic shells the rigidity of the mid-surface with kinematic boundary conditions plays an important role. Rigidity is understood in the sense of infinitesimal (linearized) rigidity, i.e., the displacements vanish provided the variation of the first fundamental form vanishes. In this case the surface is also called “stiff”, as it cannot undergo pure bendings. A stiff surface is imperfectly stiff or perfectly stiff when the origin respectively does or does not belong to the essential spectrum of the boundary-value problem. These questions are investigated in the framework of Douglis-Nirenberg elliptic systems, with boundary conditions and transmission conditions at the folds. The index properties ensures quasi-stiffness, i.e. stiffness up to a finite number of degrees of freedom. The concept of perfect stiffness is linked with estimates for the rigidity system at an appropriate level of regularity for the data and the solution. It is proved that surfaces with folds are never perfectly stiff. It is also shown that the transmission conditions at the folds contain more conditions than those satisfying the Shapiro-Lopatinskii property. This leads to certain rigidity properties of the folds. Some examples are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00375125
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  • 4
    Electronic Resource
    Electronic Resource
    On the vanishing viscosity limit for acoustic phenomena in a bounded region (1981)
    Springer
    Archive for rational mechanics and analysis 75 (1981), S. 257-268 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The problem of the linearized vibrations of a viscous, barotropic fluid in a bounded vessel is studied under various boundary conditions. It is shown that the essential spectrum is formed by one or two points that tend to infinity as the viscosity coefficients tend to zero. The asymptotics of solutions of the initialboundary value problem as the viscosity coefficients tend to zero is established. Some remarks about the physical properties of the associated sound waves are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00250785
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