6533b851fe1ef96bd12aa122
RESEARCH PRODUCT
G. Herglotz’ Behandlung von Beschleunigungswellen in seiner Vorlesung «Mechanik der Kontinua» angewandt auf die Stosswellen von Christoffel
Ernst Höldersubject
Euclidean distancePhysicsChristoffel symbolsHyperelastic materialMathematical analysisAcceleration (differential geometry)Wave vectorClassification of discontinuitiesDivergence (statistics)First orderdescription
Following a lecture delivered by Herglotz in 1925/26 we briefly treat acceleration waves in hyperelastic materials. Our main result is a divergence equation for the squared Euclidean norm of the so-called ‘wave vector’. We then apply Herglotz’ method (devised for acceleration waves) to the propagation of such first order discontinuities in elastic bodies as were treated by Christoffel in [1].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1981-01-01 |