[논문]General Fishnet Statistics of Strength: Nacreous, Biomimetic, Concrete, Octet-Truss, and Other Architected or Quasibrittle Materials

Luo, Wen; Baž; ant, Zdeně; k P.

doi:10.1115/1.4045589

General Fishnet Statistics of Strength: Nacreous, Biomimetic, Concrete, Octet-Truss, and Other Architected or Quasibrittle Materials 원문보기

Journal of applied mechanics, v.87 no.3, 2020년, pp.031015 -

Luo, Wen (Department of Civil and Environmental Engineering, Northwestern University, Evanston, IL 60208) , Bažant, Zdeněk P. (McCormick Institute Professor and W.P. Murphy Professor of Civil and Mechanical Engineering and Materials Science, Northwestern University, 2145 Sheridan Road, CEE)

Abstract ▼ AI-Helper

AbstractThe fishnet probabilistic model was recently developed to characterize the strength distribution of nacre-like biomimetic materials. It reveals that the unique fishnet-like connectivity of the material microstructure brings about enormous safety gain at the extremely low failure probability level of one out of a million, desired for engineering structures. The gist of the theory is that the material microstructure plays a determining role in its failure probability tail. Therefore, a carefully designed connectivity for a material microstructure not only enhances its mean strength but also significantly reduces its marginal failure risk. Here, we first show that the initially introduced series expansion and the newer formulation based on order statistics are, in the fishnet model, essentially equivalent. From that we develop a neat general form of the fishnet statistics. Then, we extend our theoretical approach to the strength distributions of architected nanomaterials such as the printed octet-truss carbon nanolattices, as well as to quasibrittle particulate composites such as concrete, and formulate a unified general fishnet statistics. We demonstrate that the octet-truss system can be physically seen and statistically treated as a union of three fishnets with three mutually orthogonal orientations. We show that the three-dimensional assembly of fishnets further enhances the tail strength at the 10−6 probability quantile, compared to two-dimensional (2D) fishnet statistics. We compare the performance of different statistical strength models by fitting of the simulated and experimental histograms data for the octet-truss nanolattice. Finally, we argue that, at the extreme lower tail of failure probability, quasibrittle materials such as concrete or fiber composites should partially exhibit the fishnet-type statistical behavior.

참고문헌 (33)

Recommendation for Loading and Safety Regulations for Structural Design Nordic Committee on Building Regulations 1978
Structural Reliability Analysis and Prediction Melchers 2018
J. Mater. Res. Wang 16 9 2485 2001 10.1557/JMR.2001.0340 Deformation Mechanisms in Nacre

상세보기
Proc. Natl. Acad. Sci. U.S.A. Gao 100 10 5597 2003 10.1073/pnas.0631609100 Materials Become Insensitive to Flaws at Nanoscale: Lessons From Nature

상세보기
Nature Kamat 405 6790 1036 2000 10.1038/35016535 Structural Basis for the Fracture Toughness of the Shell of the Conch Strombus Gigas

상세보기
Proc. Natl. Acad. Sci. U.S.A. Luo 114 49 12900 2017 10.1073/pnas.1714103114 Fishnet Model for Failure Probability Tail of Nacre-Like Imbricated Lamellar Materials

상세보기
J. Mech. Phys. Solids Luo 109 264 2017 10.1016/j.jmps.2017.07.023 Fishnet Statistics for Probabilistic Strength and Scaling of Nacreous Imbricated Lamellar Materials

상세보기
J. Mech. Phys. Solids Luo 121 281 2018 10.1016/j.jmps.2018.07.023 Fishnet Model With Order Statistics for Tail Probability of Failure of Nacreous Biomimetic Materials With Softening Interlaminar Links

상세보기
ASME J. Appl. Mech. Luo 86 8 081006 2019 10.1115/1.4043663 Fishnet Statistical Size Effect on Strength of Materials With Nacreous Microstructure

상세보기
Royal Swedish Inst. Eng. Res. Weibull 151 15 1 1939 A Statistical Theory of the Strength of Materials
Proc. R. Soc. Lond. Ser. A Math. Phys. Sci. Daniels 183 995 405 1945 The Statistical Theory of the Strength of Bundles of Threads. I
Math. Proc. Cambridge Philos. Soc. Fisher 24 2 180 1928 10.1017/S0305004100015681 Limiting Forms of the Frequency Distribution of the Largest or Smallest Member of a Sample

상세보기
J. Mech. Phys. Solids Baant 55 1 91 2007 10.1016/j.jmps.2006.05.007 Activation Energy Based Extreme Value Statistics and Size Effect in Brittle and Quasibrittle Fracture

상세보기
Proc. Natl. Acad. Sci. U.S.A. Baant 106 28 11484 2009 10.1073/pnas.0904797106 Scaling of Strength and Lifetime Probability Distributions of Quasibrittle Structures Based on Atomistic Fracture Mechanics

상세보기
Probabilistic Mechanics of Quasibrittle Structures: Strength, Lifetime, and Size Effect Baant 2017 10.1017/9781316585146
Scaling of Structural Strength Baant 2005
Fracture and Size Effect in Concrete and Other Quasibrittle Materials Baant 2019 10.1201/9780203756799
Dent. Mater. Le 25 5 641 2009 10.1016/j.dental.2008.11.011 Strength Distribution of Dental Restorative Ceramics: Finite Weakest Link Model With Zero Threshold

상세보기
J. Mech. Phys. Solids Le 59 7 1291 2011 10.1016/j.jmps.2011.03.002 Unified Nano-Mechanics Based Probabilistic Theory of Quasibrittle and Brittle Structures: I. Strength, Static Crack Growth, Lifetime and Scaling

상세보기
ASME J. Appl. Mech. Xu 86 8 081005 2019 10.1115/1.4043440 A Renewal Weakest-Link Model of Strength Distribution of Polycrystalline Silicon Mems Structures

상세보기
Probab. Eng. Mech. Salviato 36 1 2014 10.1016/j.probengmech.2014.01.001 The Asymptotic Stochastic Strength of Bundles of Elements Exhibiting General Stress-Strain Laws

상세보기
Front. Mater. Marchi 6 174 2019 10.3389/fmats.2019.00174 Microstructure and Size Effects on the Mechanics of Two Dimensional, High Aspect Ratio Nanoparticle Assemblies

상세보기
Fuller, R. B. , 1961, “Octet Truss,” U.S. Patent Serial No. 2,986,241.
J. Mech. Phys. Solids Deshpande 49 8 1747 2001 10.1016/S0022-5096(01)00010-2 Effective Properties of the Octet-Truss Lattice Material

상세보기
Int. J. Solids Struct. Dong 60 107 2015 10.1016/j.ijsolstr.2015.02.020 Mechanical Response of Ti-6Al-4V Octet-Truss Lattice Structures

상세보기
Proc. Natl. Acad. Sci. U.S.A. Zhang 116 14 6665 2019 10.1073/pnas.1817309116 Lightweight, Flaw-Tolerant, and Ultrastrong Nanoarchitected Carbon

상세보기
Extreme Mech. Lett. Gu 2 7 2015 10.1016/j.eml.2015.01.006 Ultra-Strong Architected Cu Meso-Lattices

상세보기
J. Mech. Phys. Solids He 101 133 2017 10.1016/j.jmps.2017.01.019 Mechanical Properties of Copper Octet-Truss Nanolattices

상세보기
Int. J. Fract. Pang 154 1-2 131 2008 10.1007/s10704-009-9317-8 Statistics of Strength of Ceramics: Finite Weakest-Link Model and Necessity of Zero Threshold

상세보기
Aeppli, A. , 1924, “Zur Theorie verketteter Wahrscheinlichkeiten: Markoffsche Ketten Hoherer Ordnung,” Ph.D. thesis, ETH Zurich, Zurich.
Guennebaud 2010 Eigen V3
The Paraview Guide: A Parallel Visualization Application Ayachit 2015
Granular Matter Nitka 17 1 145 2015 10.1007/s10035-015-0546-4 Modelling of Concrete Behaviour in Uniaxial Compression and Tension With Dem

상세보기

내보내기 구분	파일저장 인쇄 메일전송
구성항목	기본정보 상세정보 관리번호, 논문명, 저널/프로시딩명, 저자 , 발행년, 권, 호, 시작페이지, 끝페이지, 발행기관 관리번호, 논문명, 대등논문명, 저자 , 저널/프로시딩명, 발행기관, 발행년, 발행언어, 권, 호, 시작페이지, 끝페이지, ISBN, ISSN, 주제분야, 키워드, 초록(한글), 초록(영문), 저자(소속기관)
저장형식	Text(ASCII format) Excel format RefWorks Direct Export RIS format (for Reference Manager, ProCite, EndNote), Scholar's Aids, Mendeley
메일정보	받는사람 (필수) @ 보내는사람 (선택) @ 제목 내용 KISTI 검색결과 이메일 서비스
안내	총 건의 자료가 검색되었습니다. 다운받으실 자료의 인덱스를 입력하세요. (1-10,000) 검색결과의 순서대로 최대 10,000건 까지 다운로드가 가능합니다. 데이타가 많을 경우 속도가 느려질 수 있습니다.(최대 2~3분 소요) 다운로드 파일은 UTF-8 형태로 저장됩니다. 파일의 내용이 제대로 보이지 않을실 때는 웹브라우저 상단의 보기 -> 인코딩 -> 자동선택 여부를 확인하십시오. ~ Text(ASCII format) Excel format

연합인증

General Fishnet Statistics of Strength: Nacreous, Biomimetic, Concrete, Octet-Truss, and Other Architected or Quasibrittle Materials 원문보기

Abstract ▼ AI-Helper

참고문헌 (33)

이 논문을 인용한 문헌

관련 콘텐츠

원문 보기

원문 URL 링크

오픈액세스(OA) 유형

이 논문과 함께 이용한 콘텐츠

AI-Helper ※ AI-Helper는 오픈소스 모델을 사용합니다.

선택된 텍스트