FEM Analysis of Antiplane Problems with Interacting Stiff and Ultrathin Platelets

M. A. Herrera-Garrido; S. G. Mogilevskaya; V. Mantič

doi:10.1007/978-3-031-99987-1_49

FEM Analysis of Antiplane Problems with Interacting Stiff and Ultrathin Platelets

M. A. Herrera-Garrido
, S. G. Mogilevskaya
, V. Mantič

Civil, Environmental, and Geo- Engineering

Research output: Chapter in Book/Report/Conference proceeding › Chapter

1 Scopus citations

Abstract

The finite element procedure, previously developed to solve antiplane problems involving a single ultrathin and relatively stiff coating layer, is extended to study the effects of interaction between two stiff and ultrathin platelets embedded in an isotropic matrix. The platelets are modeled by the Gurtin-Murdoch material surfaces. The goal of numerical analysis is to investigate how the distance between platelets and their material properties affect the stresses in the system. The governing parameters of the problem are identified and numerical results are presented.

Original language	English (US)
Title of host publication	Springer Proceedings in Materials
Publisher	Springer
Pages	489-500
Number of pages	12
DOIs	https://doi.org/10.1007/978-3-031-99987-1_49
State	Published - 2025

Publication series

Name	Springer Proceedings in Materials
Volume	85
ISSN (Print)	2662-3161
ISSN (Electronic)	2662-317X

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

Keywords

Antiplane elasticity
Composites
Finite Element Method
Gurtin-Murdoch material surface
Ultrathin platelets

Publisher link

10.1007/978-3-031-99987-1_49

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Cite this

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abstract = "The finite element procedure, previously developed to solve antiplane problems involving a single ultrathin and relatively stiff coating layer, is extended to study the effects of interaction between two stiff and ultrathin platelets embedded in an isotropic matrix. The platelets are modeled by the Gurtin-Murdoch material surfaces. The goal of numerical analysis is to investigate how the distance between platelets and their material properties affect the stresses in the system. The governing parameters of the problem are identified and numerical results are presented.",

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AU - Mantič, V.

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KW - Antiplane elasticity

KW - Composites

KW - Finite Element Method

KW - Gurtin-Murdoch material surface

KW - Ultrathin platelets

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