Walter Noll
Professor Walter Noll
Born(1925-01-07)January 7, 1925
DiedJune 6, 2017(2017-06-06) (aged 92)
Alma materIndiana University Bloomington
Known forPrinciple of material objectivity
Rational thermodynamics
AwardsAmerican Mathematical Society Fellow (2012)
Scientific career
FieldsApplied mathematics, classical mechanics, thermodynamics, continuum mechanics
InstitutionsCarnegie Mellon University
ThesisOn the Continuity of the Solid and Fluid States (1954)
Clifford Truesdell
Websitehttp://www.math.cmu.edu/~wn0g/

Walter Noll (January 7, 1925 – June 6, 2017) was a mathematician, and Professor Emeritus at Carnegie Mellon University. He is best known for developing mathematical tools of classical mechanics, thermodynamics, and continuum mechanics.[1]

Biography

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Born in Berlin, Weimar Germany, Noll had his school education in a suburb of Berlin. In 1954, Noll earned a Ph.D. in Applied Mathematics from Indiana University Bloomington in 1954 under Clifford Truesdell.[2]

His thesis "On the Continuity of the Solid and Fluid States" was published both in Journal of Rational Mechanics and Analysis and in one of Truesdell's books.[3] Noll thanks Jerald Ericksen for his critical input to the thesis.

Noll has served as a visiting professor at the Johns Hopkins University, the University of Karlsruhe, the Israel Institute of Technology, the Institut National Polytechnique de Lorraine in Nancy, the University of Pisa, the University of Pavia, and the University of Oxford.[2]

In 2012 he became a fellow of the American Mathematical Society.[4] Noll died on June 6, 2017, at the age of 92.[5]

Principle of material objectivity

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In continuum mechanics, Noll introduced the so-called principle of material objectivity,[6] which states that the constitutive laws governing the internal conditions of a physical system and the interactions between its parts should not depend on whatever external frame of reference is used to describe them.

"Principle of material objectivity" is now an obsolete term that has been replaced by principle of material frame-indifference.[7]

Books

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  • Noll, Walter and Truesdell, Clifford (1965) The Non-Linear Field Theories of Mechanics. Springer-Verlag, New York. ISBN 3-540-02779-3.
  • Noll, Walter; Coleman, B. D.; and Markovitz, H. (1966) Viscometric Flows of Non-Newtonian Fluids, Theory and Experiment. Springer-Verlag, New York. ASIN B0006BN90G.
  • Noll, Walter (1974) Foundations of Mechanics and Thermodynamics, Selected Papers. Springer-Verlag, New York. ISBN 0-387-06646-2.
  • Noll, Walter (1987) Finite-Dimensional Spaces: Algebra, Geometry, and Analysis, Volume I. Kluwer Academic Publishers. ISBN 90-247-3581-5. A corrected version (2006) is published on Professor Noll's website.
  • Noll, Walter (2004) Five Contributions to Natural Philosophy. Published on Professor Noll's website

References

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  1. ^ Ignatieff, Y. (1996). The Mathematical World of Walter Noll. Springer-Verlag.
  2. ^ a b "Walter Noll, Curriculum Vitae". Retrieved 2007-12-30.
  3. ^ Continuum Mechanics II: The Rational Mechanics of Materials, pages 65–81, (1965) Gordon and Breach
  4. ^ List of Fellows of the American Mathematical Society, retrieved 2013-02-24.
  5. ^ post-gazette.com
  6. ^ Ignatieff, Y. (1996). The Mathematical World of Walter Noll. Springer-Verlag. p. 107.
  7. ^ Miroslav Šilhavý, The Mechanics and Thermodynamics of Continuous Media, Springer, 1997: "The Principle of Material Frame Indifference".
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📚 Artikel Terkait di Wikipedia

Frame of reference

Geodetic reference frame Inertial frame of reference Local coordinates Material frame-indifference Rod and frame test Kinematics Laboratory frame of reference

Cauchy elastic material

as the relaxed (zero-stress) configuration, but need not be. Material frame-indifference requires that the constitutive relation G {\displaystyle {\mathcal

Strain energy density function

spatial configuration. For an isotropic material, consideration of the principle of material frame indifference leads to the conclusion that the strain

Invariants of tensors

objective, or in more modern terminology, satisfy the principle of material frame-indifference) and any function of the principal invariants is also objective

Lagrangian coherent structure

As a consequence, LCSs are subject to the basic objectivity (material frame-indifference) requirement of continuum mechanics. The objectivity of LCSs

Lethal white syndrome

a known frame and a cryptic frame, some are produced by the intentional breeding of two known frames, whether out of ignorance or indifference. Producing

Races and creatures in His Dark Materials

Serafina's life, and became her lover and father of her son. Spectres of Indifference, commonly shortened to Spectres are beings of spirit escaped from the

Carrollton bus collision

Kunen in his 1994 book Reckless Disregard: Corporate Greed, Government Indifference, and the Kentucky School Bus Crash. In 2013, MADD produced a documentary