The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F19%3A10407801" target="_blank" >RIV/00216208:11320/19:10407801 - isvavai.cz</a>

Výsledek na webu

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=7QU2ztv4Wl" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=7QU2ztv4Wl</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s10659-019-09724-0" target="_blank" >10.1007/s10659-019-09724-0</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies

Popis výsledku v původním jazyce

In this paper we study the deformation of a body with a notch subject to an anti-plane state of stress within the context of a new class of elastic models. These models stem as approximations of constitutive response functions for an elastic body that is defined within the context of an implicit constitutive relation between the stress and the deformation gradient. Gum metal and many metallic alloys are described well by such constitutive relations. We consider the state of anti-plane stress of a body with a smoothened V-notch within the context of constitutive relations for the linearized strain in terms of a power-law for the stretch. The problem is solved numerically and the convergence and the stability of the solution is studied.

Název v anglickém jazyce

The State of Stress and Strain Adjacent to Notches in a New Class of Nonlinear Elastic Bodies

Popis výsledku anglicky

In this paper we study the deformation of a body with a notch subject to an anti-plane state of stress within the context of a new class of elastic models. These models stem as approximations of constitutive response functions for an elastic body that is defined within the context of an implicit constitutive relation between the stress and the deformation gradient. Gum metal and many metallic alloys are described well by such constitutive relations. We consider the state of anti-plane stress of a body with a smoothened V-notch within the context of constitutive relations for the linearized strain in terms of a power-law for the stretch. The problem is solved numerically and the convergence and the stability of the solution is studied.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA18-12719S" target="_blank" >GA18-12719S: Thermodynamická a matematická analýza proudění strukturovaných tekutin</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

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

Název periodika

Journal of Elasticity

ISSN

0374-3535

e-ISSN

—

Svazek periodika

135

Číslo periodika v rámci svazku

1-2

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

23

Strana od-do

375-397

Kód UT WoS článku

000466776000012

EID výsledku v databázi Scopus

2-s2.0-85062478747