Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters

Bekir Cagri Sarar; M. Erden Yildizdag; Bilen Emek Abali

doi:10.1007/978-3-031-26186-2_39

Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters

Bekir Cagri Sarar^*
, M. Erden Yildizdag
, Bilen Emek Abali

^*Corresponding author for this work

Department of Naval Architecture and Marine Engineering

University of L'Aquila
Uppsala University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

19 Citations (Scopus)

Abstract

Additive manufacturing techniques, especially fused deposition modelling (FDM) based polymer 3-D printers are opening new possibilities in engineering design. Multiscale structures have a macroscale and miscroscale geometry. Composite materials are available as filaments allowing multiphysics applications. Microscale structure or even heterogeneous materials cause deviations from predictions of the materials response by using the classical first-order theory. Hence, we use the secondorder modeling in mechanics and study how to determine additional constitutive parameters that arise with the strain gradient theory. Different homogenization methods are demonstrated to result in differing material parameters based on assumptions used in modeling.

Original language	English
Title of host publication	Advanced Structured Materials
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	631-644
Number of pages	14
DOIs	https://doi.org/10.1007/978-3-031-26186-2_39
Publication status	Published - 2023

Publication series

Name	Advanced Structured Materials
Volume	170
ISSN (Print)	1869-8433
ISSN (Electronic)	1869-8441

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

Keywords

3-D printing
Additive manufacturing
Homogenization
Strain gradient elasticity

Access to Document

10.1007/978-3-031-26186-2_39

Cite this

@inbook{63afc3a24f2f4403961c070768eaa6b6,

title = "Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters",

abstract = "Additive manufacturing techniques, especially fused deposition modelling (FDM) based polymer 3-D printers are opening new possibilities in engineering design. Multiscale structures have a macroscale and miscroscale geometry. Composite materials are available as filaments allowing multiphysics applications. Microscale structure or even heterogeneous materials cause deviations from predictions of the materials response by using the classical first-order theory. Hence, we use the secondorder modeling in mechanics and study how to determine additional constitutive parameters that arise with the strain gradient theory. Different homogenization methods are demonstrated to result in differing material parameters based on assumptions used in modeling.",

keywords = "3-D printing, Additive manufacturing, Homogenization, Strain gradient elasticity",

author = "Sarar, \{Bekir Cagri\} and Yildizdag, \{M. Erden\} and Abali, \{Bilen Emek\}",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.",

year = "2023",

doi = "10.1007/978-3-031-26186-2\_39",

language = "English",

series = "Advanced Structured Materials",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "631--644",

booktitle = "Advanced Structured Materials",

address = "Germany",

}

Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters. / Sarar, Bekir Cagri; Yildizdag, M. Erden; Abali, Bilen Emek.
Advanced Structured Materials. Springer Science and Business Media Deutschland GmbH, 2023. p. 631-644 (Advanced Structured Materials; Vol. 170).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters

AU - Sarar, Bekir Cagri

AU - Yildizdag, M. Erden

AU - Abali, Bilen Emek

PY - 2023

Y1 - 2023

N2 - Additive manufacturing techniques, especially fused deposition modelling (FDM) based polymer 3-D printers are opening new possibilities in engineering design. Multiscale structures have a macroscale and miscroscale geometry. Composite materials are available as filaments allowing multiphysics applications. Microscale structure or even heterogeneous materials cause deviations from predictions of the materials response by using the classical first-order theory. Hence, we use the secondorder modeling in mechanics and study how to determine additional constitutive parameters that arise with the strain gradient theory. Different homogenization methods are demonstrated to result in differing material parameters based on assumptions used in modeling.

AB - Additive manufacturing techniques, especially fused deposition modelling (FDM) based polymer 3-D printers are opening new possibilities in engineering design. Multiscale structures have a macroscale and miscroscale geometry. Composite materials are available as filaments allowing multiphysics applications. Microscale structure or even heterogeneous materials cause deviations from predictions of the materials response by using the classical first-order theory. Hence, we use the secondorder modeling in mechanics and study how to determine additional constitutive parameters that arise with the strain gradient theory. Different homogenization methods are demonstrated to result in differing material parameters based on assumptions used in modeling.

KW - 3-D printing

KW - Additive manufacturing

KW - Homogenization

KW - Strain gradient elasticity

UR - https://www.scopus.com/pages/publications/85153076484

U2 - 10.1007/978-3-031-26186-2_39

DO - 10.1007/978-3-031-26186-2_39

M3 - Chapter

AN - SCOPUS:85153076484

T3 - Advanced Structured Materials

SP - 631

EP - 644

BT - Advanced Structured Materials

PB - Springer Science and Business Media Deutschland GmbH

ER -

Comparison of Homogenization Techniques in Strain Gradient Elasticity for Determining Material Parameters

Abstract

Publication series

Bibliographical note

UN SDGs

Keywords

Access to Document

Other files and links

Fingerprint

Cite this