Analytical solution to a fracture problem in a tough layered structure

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 2, 2008, Pages

  Hamamoto, Yukari ^a   Okumura, Ko ^a  

^a OCHANOMIZU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK TIPS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); FRACTURE; FRACTURE FIXATION; FRACTURE TOUGHNESS; GEMS;

ANALYTICAL SOLUTIONS; BOUNDARY PROBLEMS; CRACK PROBLEMS; LARGE DISPLACEMENTS; LAYERED MODELING; LAYERED STRUCTURED;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 50249156459     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.026118     Document Type: Article

References (23)

1. J. D. Currey, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 10.1098/rspb.1977.0050 196, 443 (1977).
2. A. P. Jackson, J. F. V. Vincent, and R. M. Turner, Proc. R. Soc. London, Ser. B PRLBA4 0962-8452 10.1098/rspb.1988.0056 234, 415 (1988).
3. M. Sarikaya and I. A. Aksay, Biomimetics: Design and Processing of Materials (AIP, New York, 1995).
4. M. P. Rao, A. J. Sanchez-Herencia, G. E. Beltz, R. M. McMeeking, and F. F. Lange, Science SCIEAS 0036-8075 10.1126/science.286.5437.102 286, 102 (1999).
5. K. Okumura and P. G. de Gennes, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890170150 4, 121 (2001);
6. P. G. de Gennes and K. Okumura, C. R. Acad. Sci., Ser IV: Phys., Astrophys. CRACFI 1631-0705 1, 257 (2000).
7. K. Okumura, Eur. Phys. J. E EPJSFH 1292-8941 7, 303 (2002);
8. K. Okumura, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00578-y 63, 701 (2003);
9. K. Okumura, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/17/31/015 17, S2879 (2005);
10. K. Okumura, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10292-x 67, 470 (2004).
11. A. G. Evans, Z. Suo, R. Z. Wang, I. A. Aksay, M. Y. He, and J. W. Hutchinson, J. Mater. Res. JMREEE 0884-2914 10.1557/JMR.2001.0339 16, 2475 (2001).
12. D. R. Kattii, K. S. Katti, J. Sopp, and M. Sarikaya, Comput. Theor. Polym. Sci. CTPSFJ 1089-3156 10.1016/S1089-3156(01)00012-5 11, 397 (2001).
13. H. J. Gao, B. H. Ji, I. L. Jager, E. Artz, and P. Fratzl, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.0631609100 100, 5597 (2003).
14. F. Song and Y. L. Bai, J. Mater. Res. JMREEE 0884-2914 10.1557/JMR.2003.0239 18, 1741 (2003).
15. P. Franzl, H. S. Gupta, E. P. Paschalis, and P. Roschger, J. Mater. Chem. JMACEP 0959-9428 10.1039/b402005g 14, 2115 (2004).
16. B. Ji and H. Gao, J. Mech. Phys. Solids JMPSA8 0022-5096 10.1016/j.jmps.2004.03.006 52, 1963 (2004).
17. Phani Kumar V. V. Nukala and S. Šimunović, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.041919 72, 041919 (2005).
18. F. Barthelat, C.-M. Li, C. Comi, and H. D. Espinosa, J. Mater. Res. JMREEE 0884-2914 10.1557/jmr.2006.0239 21, 1977 (2006).
19. K. Okumura (unpublished).
20. T. L. Anderson, Fracture Mechanics-Fundamentals and Applications (CRC Press, Boca Raton, FL, 1991).
21. S. Nakagawa and K. Okumura, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.76.114801 76, 114801 (2007);
22. Y. Aoyanagi and K. Okumura (unpublished);
23. Y. Aoyanagi and K. Okumura (unpublished).