Noncoaxiality between Two Tensors with Application to Stress Rate Decomposition and Fabric Anisotropy Variable

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F20%3A00521777" target="_blank" >RIV/61388998:_____/20:00521777 - isvavai.cz</a>

Výsledek na webu

<a href="https://ascelibrary.org/doi/10.1061/%28ASCE%29EM.1943-7889.0001730" target="_blank" >https://ascelibrary.org/doi/10.1061/%28ASCE%29EM.1943-7889.0001730</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1061/(ASCE)EM.1943-7889.0001730" target="_blank" >10.1061/(ASCE)EM.1943-7889.0001730</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Noncoaxiality between Two Tensors with Application to Stress Rate Decomposition and Fabric Anisotropy Variable

Popis výsledku v původním jazyce

The coaxial and totally noncoaxial parts of a tensor in regard to another reference tensor are derived in closed analytical form based on representation theorems of tensor-valued isotropic functions. In the process a new interpretation is obtained for a singular case of representation theorems. As a first application, the coaxial and noncoaxial parts of a stress rate tensor in regard to the stress tensor are analytically expressed, and the findings applied to the following two cases: analytically express the part of a stress rate tensor that induces change of stress principal axes at fixed principal stress values, and change of stress principal values at fixed stress principal axes such that the stress orbit on the stress π-plane is circular. A second application refers to enhancing the definition of the fabric anisotropy variable A, a quantity of cardinal importance for anisotropic critical state theory in granular mechanics, so that the orthogonal coaxial and noncoaxial parts of the fabric tensor in regard to the plastic strain rate direction participate in the definition of A.

Název v anglickém jazyce

Noncoaxiality between Two Tensors with Application to Stress Rate Decomposition and Fabric Anisotropy Variable

Popis výsledku anglicky

The coaxial and totally noncoaxial parts of a tensor in regard to another reference tensor are derived in closed analytical form based on representation theorems of tensor-valued isotropic functions. In the process a new interpretation is obtained for a singular case of representation theorems. As a first application, the coaxial and noncoaxial parts of a stress rate tensor in regard to the stress tensor are analytically expressed, and the findings applied to the following two cases: analytically express the part of a stress rate tensor that induces change of stress principal axes at fixed principal stress values, and change of stress principal values at fixed stress principal axes such that the stress orbit on the stress π-plane is circular. A second application refers to enhancing the definition of the fabric anisotropy variable A, a quantity of cardinal importance for anisotropic critical state theory in granular mechanics, so that the orthogonal coaxial and noncoaxial parts of the fabric tensor in regard to the plastic strain rate direction participate in the definition of A.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20501 - Materials engineering

Projekt

<a href="/cs/project/EF15_003%2F0000493" target="_blank" >EF15_003/0000493: Centrum pro výzkum nelineárního dynamického chování pokročilých materiálů ve strojírenství (CeNDYNMAT)</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Engineering Mechanics-Asce

ISSN

0733-9399

e-ISSN

—

Svazek periodika

146

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

04020004

Kód UT WoS článku

000507898900004

EID výsledku v databázi Scopus

2-s2.0-85077962094