Nonlinear mechanics of thermoelastic accretion

Fabio Sozio; Mostafa Faghih Shojaei; Souhayl Sadik; Arash Yavari

doi:10.1007/s00033-020-01309-5

Nonlinear mechanics of thermoelastic accretion

Fabio Sozio, Mostafa Faghih Shojaei, Souhayl Sadik, Arash Yavari^*

^*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review

Abstract

In this paper, we formulate a theory for the coupling of accretion mechanics and thermoelasticity. We present an analytical formulation of the thermoelastic accretion of an infinite cylinder and of a two-dimensional block. We develop numerical schemes for the solution of these two problems, and numerically calculate residual stresses and observe a strong dependence of the final mechanical state on the parameters of the accretion process. This suggests the possibility to predict and control thermal accretion processes of soft materials by manipulating thermal parameters, and therefore, to realize additively manufactured soft objects with the desired characteristics and performances.

Originalsprog	Engelsk
Artikelnummer	87
Tidsskrift	Zeitschrift fuer Angewandte Mathematik und Physik
Vol/bind	71
Nummer	3
Antal sider	24
ISSN	0044-2275
DOI	https://doi.org/10.1007/s00033-020-01309-5
Status	Udgivet - 15 maj 2020

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author = "Fabio Sozio and Shojaei, {Mostafa Faghih} and Souhayl Sadik and Arash Yavari",

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T1 - Nonlinear mechanics of thermoelastic accretion

AU - Sozio, Fabio

AU - Shojaei, Mostafa Faghih

AU - Sadik, Souhayl

AU - Yavari, Arash

PY - 2020/5/15

Y1 - 2020/5/15

N2 - In this paper, we formulate a theory for the coupling of accretion mechanics and thermoelasticity. We present an analytical formulation of the thermoelastic accretion of an infinite cylinder and of a two-dimensional block. We develop numerical schemes for the solution of these two problems, and numerically calculate residual stresses and observe a strong dependence of the final mechanical state on the parameters of the accretion process. This suggests the possibility to predict and control thermal accretion processes of soft materials by manipulating thermal parameters, and therefore, to realize additively manufactured soft objects with the desired characteristics and performances.

AB - In this paper, we formulate a theory for the coupling of accretion mechanics and thermoelasticity. We present an analytical formulation of the thermoelastic accretion of an infinite cylinder and of a two-dimensional block. We develop numerical schemes for the solution of these two problems, and numerically calculate residual stresses and observe a strong dependence of the final mechanical state on the parameters of the accretion process. This suggests the possibility to predict and control thermal accretion processes of soft materials by manipulating thermal parameters, and therefore, to realize additively manufactured soft objects with the desired characteristics and performances.

KW - Accretion

KW - Additive manufacturing

KW - Nonlinear elasticity

KW - Residual stress

KW - Surface Growth

KW - Thermoelasticity

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JO - Zeitschrift fuer Angewandte Mathematik und Physik

JF - Zeitschrift fuer Angewandte Mathematik und Physik

IS - 3

M1 - 87

ER -

Nonlinear mechanics of thermoelastic accretion

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