A sketch of continuum thermodynamics

Muschik, W.; Papenfuß, Christina; Ehrentraut, H.

doi:10.1016/s0377-0257(00)00141-5

Cited by 124 publications

(117 citation statements)

References 49 publications

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“…The basic fields such as the mass density, momentum density and energy density are not linked to material properties. The constitutive fields depend on the thermodynamic process and on the material [29]. The constitutive equation establishes the linkage between the stress tensor S and deformation tensor E.…”

Section: Constitutive Mappings 41 General Terms and Conditions For Mmentioning

confidence: 99%

“…The material symmetry axes of one meso-volume element of SFRC and, consequently, the direction dependent elasticity constants γ ij , G ij are identified utilising the orientation state of fibres, which is quantified by the orientation tensors and the orientation distribution function [29,31].…”

Section: The Condition Eq (47) Is Satisfied If the Strain-energy Dementioning

confidence: 99%

“…The possible applicability of the developed methods for measuring fibre orientations, their precision, and feasibility are highlighted in Publication IV, Publication V. The approach is based on the use of the orientation distribution function and the alignment tensors [29,30,31]. These quantities have been successfully employed in e.g.…”

Section: Introductionmentioning

confidence: 99%

“…These quantities have been successfully employed in e.g. liquid crystals (LCs) [29,30], short fibre polymer composites [31], and penny shaped micro-cracks in brittle materials [32], where the orientation distribution of rod-like particles is relevant. The approach rests on the concepts of mesoscopic continuum theory, which is between a microscopic description, which uses the statistical methods, and macroscopic description, which usually does not take into account any micro-structure.…”

Section: Introductionmentioning

confidence: 99%

“…Here, it is useful to introduce the l-order orientation tensor (OT), which is symmetric and can be composed by dyadic products of a unit vector with itself, then integrating the result with the ODF over the whole unit sphere [31]. The irreducible-symmetric traceless-part of the l-order OT, called the l-order alignment tensor (AT) [29,30,36], can recover the ODF. The orientation distribution function defined on a unit sphere can be expanded into the series of main spherical harmonics forming a complete orthonormal basis.…”

Section: Introductionmentioning

confidence: 99%

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Dissertation for the Doctoral degree to be presented with due permissions of the School of Engineering, Aalto University and Tallinn University of Technology for public examination and debate in Auditorium R1 (Rakentajanaukio 4A) at the Aalto University (Espoo, Finland) on the 4th of April 2014 at 12 noon. Aalto University School of Engineering Tallinn University of TechnologyS up e r v i s i ng p r o f e s s o r P ro f e s s o r J ari P ut t o ne n, A al t o U ni v e rs i t y , F i nl and T h e s i s a d v i s o r D r. re r. nat . H e i k o H e rrmann, T al l i nn U ni v e rs i t y o f T e c h no l o g y , E s t o ni aP r e l i mi na r y e x a mi ne r s P ro f e s s o r H o l m A l t e nb ac h , F ac ul t y o f M e c h ani c al E ng i ne e ri ng , O t t ov o n G ue ri c k e -U ni v e rs i t ät M ag d e b urg , G e rmany P ro f e s s o r K e nne t h R une s s o n, D e p art me nt o f A p p l i e d M e c h ani c s , C h al me rs U ni v e rs i t y o f T e c h no l o g y , S w e d e n O p p o ne nt P ro f e s s o r K ari n L und g re n, D e p art me nt o f C i v i l and E nv i ro nme nt al E ng i ne e ri ng , C h al me rs U ni v e rs i t y o f T e c h no l o g y , S w e d e n A al t o U ni v e rs i t y p ub l i c at i o n s e ri e s D O C T O R A L D I S S E R T A T I O N S 2 8/ 2 0 1 4© M ari k a E i k I S BN 9 7 8-9 5 2 -6 0 -5 5 9 1 -6 I S BN 9 7 8-9 5 2 -6 0 -5 5 9 2 -3 ( p d f ) I S S N -L 1 7 9 9 -4 9 34 I S S N 1 7 9 9 -4 9 34 ( p ri nt e d ) I S S N 1 7 9 9 -4 9 4 2 ( p d f ) h t t p : / / urn. f i / U R N : I S BN : 9 7 8-9 5 2 -6 0 -5 5 9 2 -3 U ni g raf i a O y H e l s i nk i 2 0 1 4 F i nl and S up e r v i s i ng p r o f e s s o r P ro f e s s o r J ari P ut t o ne n, A al t o U ni v e rs i t y , F i nl andT h e s i s a d v i s o r D r. re r. nat . H e i k o H e rrmann, T al l i nn U ni v e rs i t y o f T e c h no l o g y , E s t o ni a P r e l i mi na r y e x a mi ne r s P ro f e s s o r H o l m A l t e nb ac h , F ac ul t y o f M e c h ani c al E ng i ne e ri ng , O t t ov o n G ue ri c k e -U ni v e rs i t ät M ag d e b urg , G e rmany P ro f e s s o r K e nne t h R une s s o n, D e p art me nt o f A p p l i e d M e c h ani c s , C h al me rs U ni v e rs i t y o f T e c h no l o g y , S w e d e n O p p o ne nt P ro f e s s o r K ari n L und g re n, D e p art me nt o f C i v i l and E nv i ro nme nt al E ng i ne e ri ng , C h al me rs U ni v e rs i t y o f T e c h no l o g y , S w e d e n A al t o U ni v e rs i t y p ub l i c at i o n s e ri e s D O C T O R A L D I S S E R T A T I O N S 2 8/ 2 0 1 4 © M ari k a E i k I S BN 9 7 8-9 5 2 -6 0 -5 5 9 1 -6 I S BN 9 7 8-9 5 2 -6 0 -5 5 9 2 -3 ( p d f ) I S S N -L 1 7 9 9 -4 9 34 I S S N 1 7 9 9 -4 9 34 ( p ri nt e d ) I S S N 1 7 9 9 -4 9 4 2 ( p d f ) h t t p : / / urn. f i / U R N : I S BN : 9 7 8-9 5 2 -6 0 -5 5 9 2 -3 U ni g raf i a O y H e l s i nk i 2 0 1 4 F i nl and S up e r v i s i ng p r o f e s s o r P ro f e s s o r J ari P ut t o ne n, A al t o U ni v e rs i t y , F i nl and © M ari k a E i k I S BN 9 7 8-9 5 2 -6 0 -5 5 9 1 -6 I S BN 9 7 8-...

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Section: Constitutive Mappings 41 General Terms and Conditions For Mmentioning

confidence: 99%

Section: The Condition Eq (47) Is Satisfied If the Strain-energy Dementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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DC-conductivity testing combined with photometry for measuring fibre orientations in SFRC

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Weakly nonlocal irreversible thermodynamics

Ván

2003

Ann. Phys.

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Weakly nonlocal thermodynamic theories are critically revisited. A relocalized, irreversible thermodynamic theory of nonlocal phenomena is given, based on a modified form of the entropy current and new kind of internal variables, the so called current multipliers. The treatment is restricted to deal with nonlocality connected to dynamic thermodynamic variables. Several classical equations are derived, including Guyer-Krumhansl, Ginzburg-Landau and Cahn-Hilliard type equations.Comment: 30 pages, no figure

show abstract

Weakly nonlocal irreversible thermodynamics

Ván

2003

Annalen der Physik

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Weakly nonlocal thermodynamic theories are critically revisited. A relocalized, irreversible thermodynamic theory of nonlocal phenomena is given, based on a modified form of the entropy current and new kind of internal variables, the so called current multipliers. The treatment is restricted to deal with nonlocality connected to dynamic thermodynamic variables. Several classical equations are derived, including Guyer‐Krumhansl, Ginzburg‐Landau and Cahn‐Hilliard type equations.

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A sketch of continuum thermodynamics

Cited by 124 publications

References 49 publications

DC-conductivity testing combined with photometry for measuring fibre orientations in SFRC

DC-conductivity testing combined with photometry for measuring fibre orientations in SFRC

Weakly nonlocal irreversible thermodynamics

Weakly nonlocal irreversible thermodynamics

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