A unified topology optimization framework for dynamic contact and friction via hybrid MPM

Hashiguchi, Isamu; Han, Jike; Kobayashi, Shunsuke; Sasaki, Takamitsu; Tarumi, Ryuichi

doi:https://doi.org/10.1016/j.cma.2026.118983

A unified topology optimization framework for dynamic contact and friction via hybrid MPM

Hashiguchi, Isamu; Han, Jike; Kobayashi, Shunsuke et al.

Computer Methods in Applied Mechanics and Engineering, 2026, 457, 118983

アクセス数:55件（2026-09-29 07:27 集計）

固定URL: https://hdl.handle.net/11094/106283

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タイトル	A unified topology optimization framework for dynamic contact and friction via hybrid MPM
著者	著者名 Hashiguchi, Isamu
	NRID 1000031007826 1000031007826 著者名 Han, Jike
	ORCID 0000-0003-0502-6798 0000-0003-0502-6798 researchmap permalink shunsukekobayashi shunsukekobayashi Scopus Author ID 57216648358 57216648358 著者名 Kobayashi, Shunsuke
	著者名 Sasaki, Takamitsu
	NRID 1000030362643 1000030362643 researchmap permalink ryuichitarumi ryuichitarumi Scopus Author ID 6602531674 6602531674 ORCID 0009-0004-2405-967X 0009-0004-2405-967X 著者名 Tarumi, Ryuichi
キーワード等	Compliant mechanical systems
	Coulomb friction
	Dynamical contact
	Energy dissipating devices
	Material point method
	Topology optimization
内容	Hashiguchi I., Han J., Kobayashi S., et al. A unified topology optimization framework for dynamic contact and friction via hybrid MPM. Computer Methods in Applied Mechanics and Engineering 457, 118983 (2026); https://doi.org/10.1016/j.cma.2026.118983.
抄録	This study introduces a unified topology optimization (TO) framework capable of handling dynamic mechanical contact with interfacial friction between deformable bodies. The approach leverages a hybrid material point method (MPM), whose mathematical structure closely parallels that of classical finite element analysis, enabling a natural and consistent extension of well-established TO formulations. Through the MPM mapping operation, the framework accurately captures contact dynamics and provides a robust stick–slip formulation of Coulomb friction. Sensitivities are computed using the adjoint method with automatic differentiation, and optimal configurations are iteratively updated via the method of moving asymptotes. The compliance minimization of a three-point bending setting and the energy minimization of a contacting body demonstrate that the proposed framework remains robust for complex dynamics with large, time-evolving changes in contact interfaces and with frictional responses that directly influence overall deformation behavior. The robustness of the present framework is further demonstrated through its successful extension to fully three-dimensional settings. These results convincingly demonstrate that the hybrid MPM-based TO substantially advances structural optimization by directly incorporating dynamic contact with friction, thereby providing a unified framework for designing energy-dissipating compliant mechanical systems and devices.
出版者	Elsevier B.V.
収録物名	Computer Methods in Applied Mechanics and Engineering
巻(号)	457
ページ	118983
刊行年月	2026-04-20
言語	英語
ハンドルURL	https://hdl.handle.net/11094/106283
PISSN	00457825
関連情報 (isIdenticalTo)	DOI (出版社版) https://doi.org/10.1016/j.cma.2026.118983
アクセス権	open access
権利情報	This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
出版タイプ	Version of Record
カテゴリ	学術雑誌論文 Journal Article

資源タイプ	学術雑誌論文
ローカル資源タイプ	学術雑誌論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Computer Methods in Applied Mechanics and Engineering. 2026, 457, p. 118983
DC.title	A unified topology optimization framework for dynamic contact and friction via hybrid MPM
DC.creator	Hashiguchi, Isamu
	Han, Jike
	Kobayashi, Shunsuke
	Sasaki, Takamitsu
	Tarumi, Ryuichi
DC.publisher	Elsevier B.V.
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2026-04-20
DC.identifier	https://doi.org/10.1016/j.cma.2026.118983
DC.subject	Compliant mechanical systems
	Coulomb friction
	Dynamical contact
	Energy dissipating devices
	Material point method
	Topology optimization
DC.description	Hashiguchi I., Han J., Kobayashi S., et al. A unified topology optimization framework for dynamic contact and friction via hybrid MPM. Computer Methods in Applied Mechanics and Engineering 457, 118983 (2026); https://doi.org/10.1016/j.cma.2026.118983.
DCTERMS.abstract	This study introduces a unified topology optimization (TO) framework capable of handling dynamic mechanical contact with interfacial friction between deformable bodies. The approach leverages a hybrid material point method (MPM), whose mathematical structure closely parallels that of classical finite element analysis, enabling a natural and consistent extension of well-established TO formulations. Through the MPM mapping operation, the framework accurately captures contact dynamics and provides a robust stick–slip formulation of Coulomb friction. Sensitivities are computed using the adjoint method with automatic differentiation, and optimal configurations are iteratively updated via the method of moving asymptotes. The compliance minimization of a three-point bending setting and the energy minimization of a contacting body demonstrate that the proposed framework remains robust for complex dynamics with large, time-evolving changes in contact interfaces and with frictional responses that directly influence overall deformation behavior. The robustness of the present framework is further demonstrated through its successful extension to fully three-dimensional settings. These results convincingly demonstrate that the hybrid MPM-based TO substantially advances structural optimization by directly incorporating dynamic contact with friction, thereby providing a unified framework for designing energy-dissipating compliant mechanical systems and devices.
DC.rights	This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
DC.format	106283
citation_title	A unified topology optimization framework for dynamic contact and friction via hybrid MPM
citation_author	Hashiguchi, Isamu
	Han, Jike
	Kobayashi, Shunsuke
	Sasaki, Takamitsu
	Tarumi, Ryuichi
citation_publisher	Elsevier B.V.
citation_language	英語
citation_date	2026-04-20
citation_journal_title	Computer Methods in Applied Mechanics and Engineering
citation_volume	457
citation_firstpage	118983
citation_doi	https://doi.org/10.1016/j.cma.2026.118983
citation_public_url	https://hdl.handle.net/11094/106283

A unified topology optimization framework for dynamic contact and friction via hybrid MPM

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