lecture 4: honeycombs: in-plane behaviour – 3.054 / 3.36 spring 2015 · 2020. 12. 31. · lecture...

27

Upload: others

Post on 23-Jan-2021

2 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 2: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Honeycomb Geometry

Gibson, L. J., and M. F. Ashby. Cellular Solids: Structure and Properties. 2nd ed. Cambridge

University Press, ��1997. Figure courtesy of Lorna Gibson and Cambridge University Press.

Page 3: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Gibson, L. J., and M. F. Ashby. Cellular Solids: Structure and Properties. 2nd ed. Cambridge

University Press, ��1997. Figure courtesy of Lorna Gibson and Cambridge University Press.

Page 4: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Deformation mechanisms

Bending BendingX1 Loading X2 Loading

Bending BucklingShear

Gibson, L. J., and M. F. Ashby. Cellular Solids: Structure and Properties. 2nd ed. Cambridge

University Press, ��1997. Figure courtesy of Lorna Gibson and Cambridge University Press.

Page 5: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Plastic collapse in an aluminum honeycomb

Gibson, L. J., and M. F. Ashby. Cellular Solids: Structure and Properties. 2nd ed. Cambridge

University Press, ��1997. Figure courtesy of Lorna Gibson and Cambridge University Press.

Page 6: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Stress-Strain Curve

Gibson, L. J., and M. F. Ashby. Cellular Solids: Structure and Properties. 2nd ed. Cambridge

University Press, ��1997. Figure courtesy of Lorna Gibson and Cambridge University Press.

Page 7: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 8: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 9: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 10: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

In-Plane Deformation: Linear Elasticity

Figure removed due to copyright restrictions. See Figure 5: L. J. Gibson,

M. F. Ashby, et al. "The Mechanics of Two-Dimensional Cellular Materials."

Page 11: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 12: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 13: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 14: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Elastic Buckling

Figure removed due to copyright restrictions. See Figure 7: L. J. Gibson,M. F. Ashby, et al. "The Mechanics of Two-Dimensional Cellular Materials."

Page 15: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 16: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 17: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Plastic Collapse

Figure removed due to copyright restrictions. See Figure 8: L. J. Gibson,M. F. Ashby, et al."The Mechanics of Two-Dimensional Cellular Materials."

Page 18: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 19: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 20: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 21: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Brittle Crushing

Gibson, L. J., and M. F. Ashby. Cellular Solids: Structure and Properties. 2nd ed. Cambridge

University Press, ��1997. Figure courtesy of Lorna Gibson and Cambridge University Press.

Page 22: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 23: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Fracture Toughness

Gibson, L. J., and M. F. Ashby. Cellular Solids: Structure and Properties. 2nd ed. CambridgeUniversity Press, ��1997. Figure courtesy of Lorna Gibson and Cambridge University Press.

Page 24: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 25: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,
Page 26: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

Square and Triangular Honeycombs

Gibson, L. J., and M. F. Ashby. Cellular Solids: Structure and Properties. 2nd ed. Cambridge

University Press, ��1997. Figure courtesy of Lorna Gibson and Cambridge University Press.

Page 27: Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 · 2020. 12. 31. · Lecture 4: Honeycombs: In-plane Behaviour – 3.054 / 3.36 Spring 2015 Author: Gibson,

MIT OpenCourseWarehttp://ocw.mit.edu

3.054 / 3.36 Cellular Solids: Structure, Properties and ApplicationsSpring 2015

For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.