Estimation of strength and fracture toughness for nanomaterials

Chyanbin Hwu, Yu Kuei Yeh

Research output: Contribution to conferencePaper

Abstract

A molecular-continuum model proposed in our previous study for the estimation of elastic stiffness of nanomaterials is modified in this paper for the estimation of strength and fracture toughness. To predictyield strength and ultimate strength, a uniformly tensile strain state is assumed. As to the prediction of fracture toughness, the crack near tip deformation obtained from the linear elastic fracture mechanics is assumed. After setting the proper deformation field, the changes of bond distance and bond angle between atoms can be obtained. With this information and the proper potential energy function of molecular mechanics, the potential energy which is treated as strain energy in the deformed solids can be calculated. Similar process can be done when a small advance is added on the crack, and then the strain energy release rate can be obtained. With the above calculation procedure and the known relation between strain energy release rate and stress intensity factor, the estimation of strength and fracture toughness becomes possible for the nanomaterials. To illustrate the proposed method, the strength and fracture toughness of a graphene sheet is estimated. The numerical results fall in the reasonable range obtained by the other methods.

Original languageEnglish
Publication statusPublished - 2015 Jan 1
Event20th International Conference on Composite Materials, ICCM 2015 - Copenhagen, Denmark
Duration: 2015 Jul 192015 Jul 24

Other

Other20th International Conference on Composite Materials, ICCM 2015
CountryDenmark
CityCopenhagen
Period15-07-1915-07-24

Fingerprint

Nanostructured materials
Fracture toughness
Strain energy
Energy release rate
Potential energy functions
Cracks
Molecular mechanics
Graphite
Tensile strain
Potential energy
Fracture mechanics
Stress intensity factors
Graphene
Stiffness
Atoms

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Ceramics and Composites

Cite this

Hwu, C., & Yeh, Y. K. (2015). Estimation of strength and fracture toughness for nanomaterials. Paper presented at 20th International Conference on Composite Materials, ICCM 2015, Copenhagen, Denmark.
Hwu, Chyanbin ; Yeh, Yu Kuei. / Estimation of strength and fracture toughness for nanomaterials. Paper presented at 20th International Conference on Composite Materials, ICCM 2015, Copenhagen, Denmark.
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Hwu, C & Yeh, YK 2015, 'Estimation of strength and fracture toughness for nanomaterials' Paper presented at 20th International Conference on Composite Materials, ICCM 2015, Copenhagen, Denmark, 15-07-19 - 15-07-24, .

Estimation of strength and fracture toughness for nanomaterials. / Hwu, Chyanbin; Yeh, Yu Kuei.

2015. Paper presented at 20th International Conference on Composite Materials, ICCM 2015, Copenhagen, Denmark.

Research output: Contribution to conferencePaper

TY - CONF

T1 - Estimation of strength and fracture toughness for nanomaterials

AU - Hwu, Chyanbin

AU - Yeh, Yu Kuei

PY - 2015/1/1

Y1 - 2015/1/1

N2 - A molecular-continuum model proposed in our previous study for the estimation of elastic stiffness of nanomaterials is modified in this paper for the estimation of strength and fracture toughness. To predictyield strength and ultimate strength, a uniformly tensile strain state is assumed. As to the prediction of fracture toughness, the crack near tip deformation obtained from the linear elastic fracture mechanics is assumed. After setting the proper deformation field, the changes of bond distance and bond angle between atoms can be obtained. With this information and the proper potential energy function of molecular mechanics, the potential energy which is treated as strain energy in the deformed solids can be calculated. Similar process can be done when a small advance is added on the crack, and then the strain energy release rate can be obtained. With the above calculation procedure and the known relation between strain energy release rate and stress intensity factor, the estimation of strength and fracture toughness becomes possible for the nanomaterials. To illustrate the proposed method, the strength and fracture toughness of a graphene sheet is estimated. The numerical results fall in the reasonable range obtained by the other methods.

AB - A molecular-continuum model proposed in our previous study for the estimation of elastic stiffness of nanomaterials is modified in this paper for the estimation of strength and fracture toughness. To predictyield strength and ultimate strength, a uniformly tensile strain state is assumed. As to the prediction of fracture toughness, the crack near tip deformation obtained from the linear elastic fracture mechanics is assumed. After setting the proper deformation field, the changes of bond distance and bond angle between atoms can be obtained. With this information and the proper potential energy function of molecular mechanics, the potential energy which is treated as strain energy in the deformed solids can be calculated. Similar process can be done when a small advance is added on the crack, and then the strain energy release rate can be obtained. With the above calculation procedure and the known relation between strain energy release rate and stress intensity factor, the estimation of strength and fracture toughness becomes possible for the nanomaterials. To illustrate the proposed method, the strength and fracture toughness of a graphene sheet is estimated. The numerical results fall in the reasonable range obtained by the other methods.

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M3 - Paper

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Hwu C, Yeh YK. Estimation of strength and fracture toughness for nanomaterials. 2015. Paper presented at 20th International Conference on Composite Materials, ICCM 2015, Copenhagen, Denmark.