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Cauchy´s stress theorem for stresses represented by measures
A version of Cauchy´s stress theorem is given in which the stress describing is represented by a tensor valued measure with weak divergence a vector valued measure. The system of forces is formalized in the notion of an unbounded
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Gibbs free energy based representation formula within the context of implicit constitutive relations for elastic solids
constitutive relations between the Cauchy stress tensor and the Hencky strain tensor. Using a thermodynamic framework, we show that the Hencky strain tensor can be obtained to the Cauchy stress tensor...
Applied mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Energy conjugate measures of stress and strain in continuum mechanics
is to focus on the derivation of a general energy conjugate stress tensor corresponding with a general Lagrangean strain tensor.
JR - Ostatní strojírenství
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Modelling of pipeline systems conveying fluid under large displacements and rotations
and inertia forces. In case of straight elements a Green‘s strain tensor relative to corotational coordinate system is used. This tensor can not be replaced by Cauchy strain tensor inspite the deformation is...
BI - Akustika a kmity
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
On fundamental equations of almost geodesic mappings ?2(e).
We obtained the fundamental equations of almost geodesic mappings ?2(e) from spaces with affine connection onto Riemannian spaces in the system PDE?s of the Cauchy type in the tensor form....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On fundamental equations of almost geodesic mappings ?2(e).
We obtained the fundamental equations of almost geodesic mappings ?2(e) from spaces with affine connection onto Riemannian spaces in the system PDE?s of the Cauchy type in the tensor form....
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
How many are equiaffine connections with torsion
The question how many real analytic equiaffine connections with arbitrary torsion exist locally on a smooth manifold $M$ of dimension $n$ is studied. The families of general equiaffine connections and with skew-symmetric Ricci tensor, or wit...
BA - Obecná matematika
- 2015 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
How many are affine connections with torsion
The question how many real analytic affine connections exist locally on a smooth manifolds M of dimension n is studied. The families of general affine connections with torsion and with skew-symmetric Ricci tensor, or symmetric Ricci tens...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Diffeomorphism of affine connected spaces which preserved Riemannian and Ricci curvature tensors
In this paper we study the preserving of Riemannian and Ricci tensors with respect to a diffeomorphism of spaces with affine connection. We consider geodesic and almost geodesic mappings of the first type. The basic equations of these maps f...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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DETERMINATION OF OPTIMAL CONJUGATE STRESS STRAIN PAIRS
The aim of this paper was to shown a new methodology for determining and optimal conjugated pair for Cauchy stress tensor. Methodology demonstrated in this work can be used for various materials loaded by uniaxial tension, e.g. for ...
Condensed matter physics (including formerly solid state physics, supercond.)
- 2019 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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