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  • 1
    Electronic Resource
    Electronic Resource
    Bone remodeling due to continuously applied loads (1984)
    Springer
    Calcified tissue international 36 (1984), S. S25 
    Details
    ISSN: 1432-0827
    Keywords: Remodeling ; Bone ; Stress
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine , Physics
    Notes: Summary It has long been known that the stress history of bone tissue influences its structure; however, the nature of this relationship remains largely uncharacterized. The objective of this work was to induce a quantifiable change in the stress history ofin vivo bone tissue and examine subsequent changes in structural and material properties that might occur. Continuous compressive loads were applied to the diaphysis of adult mongrel dogs for 2 months. The loads, ranging from 12–130 N, were superposed on the normal activity of the animals by implanting spring loading devices on the diaphysis of the femur. After the animals were sacrificed, mid-diaphysial specimens were subjected to compression testing to determine a structural bulk stiffness. The cross-sectional areas of original bone tissue and new bone deposition were then determined. The ash weights of selected specimens were also determined. The results indicate that a positive correlation between the increase in cross-sectional area and the superposed stress does exist. The new bone apposition was found almost entirely on the periosteal surface. Very little evidence of internal remodeling or endosteal movement was observed. The new tissue was found to have a lower ash weight and appeared to have a disorganized microstructure. Mechanical testing also suggests that the newly deposited tissue is far less stiff than the mature original bone.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02406130
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  • 2
    Electronic Resource
    Electronic Resource
    On the steady rotational motion of polar fluids (1970)
    Springer
    Rheologica acta 9 (1970), S. 307-312 
    Details
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Description / Table of Contents: Zusammenfassung Es wird gezeigt, daß für alle physikalisch realisierbaren Grenzbedingungen, die in der Theorie der polaren Flüssigkeiten benutzt werden, diese Theorie das klassische Ergebnis liefert: die Flüssigkeit vollführt eine reine Rotation wie ein starrer Körper, wenn sie sich in einem stationär rotierenden zylindrischen Gefäß befindet.
    Notes: Summary It is shown that for all physically reasonable boundary conditions employed in the theory of polar fluids the theory predicts the traditional result that a fluid will undergo a pure rigid body rotation when subjected to a steady rotational motion in a cylindrical vessel.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01975395
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  • 3
    Electronic Resource
    Electronic Resource
    A complete solution for a unified system of field equations of thermoelasticity and poroelasticity (1993)
    Springer
    Acta mechanica 99 (1993), S. 225-233 
    Details
    ISSN: 1619-6937
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Summary In this note, a complete solution for a unified system of partial differential equations governing three variations of the theory of thermoelasticity and two variations of poroelasticity theory is presented. The connection between this solution and other known solutions is exhibited.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01177248
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  • 4
    Electronic Resource
    Electronic Resource
    On kinetic energy and momenta in Cosserat continua (1980)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 31 (1980), S. 247-260 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Résumé Cet article utilise des arguments de l'invariance pour poser une équation mettant en rapport la densité de l'énergie cinétique et les densités de la vitesse linéaire et angulaire dans le continuum de Cosserat. Bien que ce rapport puisse être utile pour déterminer une densité, les autres étant données, un tel approche souffre généralement d'un manque de spécificité. En particulier il est clair que certaines des propositions précédentes concernant la densité de la vitesse angulaire ne résultant pas uniquement de l'équation posée, bien qu'elles satisfassent les exigences de l'invariance. Par conséquent la valeur de la relation repose sur son utilisation comme un test de consistance sur des formes donneés pour les différentes densités. Des exemples de cas particuliers d'interêt pratique sont donnés afin d'illustrer de telles applications.
    Notes: Abstract This paper employs invariance arguments to derive an equation relating the kinetic energy density to the densities of linear and angular momentum in a Cosserat continuum. While this relationship may serve to determine one density given the others, such an approach in general suffers from a lack of uniqueness. In particular, it is shown that certain previous proposals for the angular momentum density do not follow uniquely from the derived equation, although they do satisfy invariance requirements. Consequently, the value of the relationship lies in its use as a consistency test upon proposed forms for the different densities. Examples are given for special cases of practical interest which illustrate such applications.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01590750
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  • 5
    Electronic Resource
    Electronic Resource
    On boundary conditions for polar materials (1977)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 28 (1977), S. 1017-1026 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Description / Table of Contents: Zusammenfassung Es werden einige Einschränkungen für die Randbedingungen in der Kontinuumsmechanik behandelt, die von der Forderung herrühren, dass für die Materie ausserhalb der Grenzfläche die fundamentalen Bilanzgleichungen, die Invarianzbedingungen und die Entropieungleichung gelten sollen. Diese Behauptungen werden für polare Materialien erläutert, jedoch sind die hier eingeführten Begriffe auf Kontinuumstheorien aller Art anwendbar.
    Notes: Summary We discuss some restrictions on boundary conditions in continuum mechanics arising from the requirement that the basic balance laws, invariance conditions and entropy inequality must hold for the material outside of the bounding surface. We illustrate our assertions for polar materials, but the ideas we use are applicable to all continuum theories.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01601669
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  • 6
    Electronic Resource
    Electronic Resource
    Steady flow of a polar fluid in a rotating pipe (1972)
    Springer
    Rheologica acta 11 (1972), S. 330-332 
    Details
    ISSN: 1435-1528
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology , Physics
    Notes: Summary It is shown that the axial motion and rotational motion in the steady flow of a polar fluid in a rotating cylinder are coupled, and that the rotational motion is not a rigid body rotation. For the same problem in traditional viscous fluid theory the axial motion and rotational motion are uncoupled, and the rotational motion is a rigid body rotation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01974776
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  • 7
    Electronic Resource
    Electronic Resource
    A continuum theory for granular materials (1972)
    Springer
    Archive for rational mechanics and analysis 44 (1972), S. 249-266 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00284326
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  • 8
    Electronic Resource
    Electronic Resource
    Remarks on the Paper “Stability of Cosserat fluid motions” (1973)
    Springer
    Archive for rational mechanics and analysis 52 (1973), S. 118-120 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00282322
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  • 9
    Electronic Resource
    Electronic Resource
    A note on the anisotropy and fabric of highly porous materials (1991)
    Springer
    Journal of materials science 26 (1991), S. 5155-5157 
    Details
    ISSN: 1573-4803
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The dependence of the orthotropic elastic constants of a highly porous material upon the stereological parameters characterizing the anisotropy of the porous microstructure has been considered in two recent papers in this journal. In the first paper [1] dimensional arguments were employed to develop to a relationship between ratios of the orthotropic elastic constants and ratios of the mean intercept lengths for a class of cell wall bending models of highly porous materials. In the second paper [2] the general tensorial form of the relationship between the orthotropic elastic constants and the mean intercept length was described without reference to a specific form or type of porous microstructure. The purpose of this note is to observe that the particular relationships obtained from the class of cell wall bending models used in the first paper are proper special cases of the general relationships given in the second paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01143206
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  • 10
    Electronic Resource
    Electronic Resource
    A theory of acoustic measurement of the elastic constants of a general anisotropic solid (1986)
    Springer
    Journal of materials science 21 (1986), S. 2759-2762 
    Details
    ISSN: 1573-4803
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract An acoustic wave approach is presented for the measurement of the twenty-one independent elastic constants of the most general linearly elastic anisotropic solid. The method requires that one be able to measure the density of the material, the velocities of the three modes of wave propagation in each of six directions, and the particle displacements associated with each of those modes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00551484
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