Abstract
Interfaces in the materials are known entities since last century described as early as in the interfacial excess energy formulations by Gibbs (Boßelmann et al. 2007). The interface effect (or surface effect) is also widely referred to as the interface stress (or surface stress) that consists of two parts, both arise from the distorted atomic structure near the interface (or surface): the first part is the interface (or surface) residual stress which is independent of the deformation of solids, and the second part is the interface (or surface) elasticity which contributes to the stress field related to the deformation. Plastic deformation, in particular, the initial yielding point (i.e., the yield surface), is sensitive to the local stress (or local strain) of a heterogeneous material, which includes both the local (surface/interface) residual stress and local stress–strain relationship. The plastic deformation at the interfaces also considers the tension and compression along the interface and stress mismatch because of the material property differences. In the nanomaterials, the surface and interface stresses become even more important owing to the nanoscale size of the particles and interface areas.
References
G.I. Barenblatt, The Mathematical Theory of Equilibrium Cracks Formed in Brittle Fracture (Armed Services Technical Information Agency, Arlington, 1962)
A. Barua, Y. Horie, M. Zhou, J. Appl. Phys. 111, 054902 (2012a)
A. Barua, Y. Horie, M. Zhou, Proceedings of the royal society a: mathematical. Phys. Eng. Sci. 468, 3725 (2012b)
A. Barua, S. Kim, Y. Horie, M. Zhou, J. Appl. Phys. 113, 184907 (2013a)
A. Barua, S.P. Kim, Y. Horie, M. Zhou, Mater. Sci. Forum 767, 13 (2013b)
A. Barua, M. Zhou, Model. Simul. Mater. Sci. Eng. 19, 055001 (2011)
M.J. van den Bosch, P.J.G. Schreurs, M.G.D. Geers, Eng. Fract. Mech. 73, 1220 (2006)
F. Boßelmann, P. Romano, H. Fabritius, D. Raabe, M. Epple, Thermochim. Acta 463, 65 (2007)
G.T. Camacho, M. Ortiz, Int. J. Solids Struct. 33, 2899 (1996)
H. Chai, Int. J. Solids Struct. 40, 6023 (2003)
H. Chai, Int. J. Fract. 130, 497 (2004)
H. Chai, M.Y.M. Chiang, J. Mech. Phys. Solids 44, 1669 (1996)
P.-Y. Chen, A.Y.-M. Lin, J. McKittrick, M.A. Meyers, Acta Biomater. 4, 587 (2008)
P. Colomban, G. Gouadec, J. Mathez, J. Tschiember, P. Pérès, Compos. A: Appl. Sci. Manuf. 37, 646 (2006)
C.R. Dandekar, Y.C. Shin, Compos. A: Appl. Sci. Manuf. 42, 355 (2011)
R. Dingreville, A. Hallil, S. Berbenni, J. Mech. Phys. Solids 72, 40 (2014)
R. Dingreville, J. Qu, J. Mech. Phys. Solids 56, 1944 (2008)
D.S. Dugadale, J. Mech. Phys. Solids 8, 100 (1960)
E. Flores-Johnson, L. Shen, I. Guiamatsia, G.D. Nguyen, Compos. Sci. Technol. 96, 13 (2014)
M. Gan, V. Tomar, Rev. Sci. Instrum. 85, 013902 (2014)
B. Gludovatz, S. Wurster, A. Hoffmann, R. Pippan, Int. J. Refract. Met. Hard Mater. 28, 674 (2010)
A.A. Griffith, Philosophical transactions of the royal society a: mathematical. Phys. Eng. Sci. 221, 163 (1921)
V.K. Gupta, D.-H. Yoon, H.M. Meyer Iii, J. Luo, Acta Mater. 55, 3131 (2007)
Z. Hashin, J. Mech. Phys. Solids 39, 745 (1991a)
Z. Hashin, Trans. ASME 58, 444 (1991b)
Z. Hashin, J. Mech. Phys. Solids 50, 2509 (2002)
J.L. Högberg, Int. J. Fract. 141, 549 (2006)
N. Pagano and G.P. Tandon: Mechanics of Materials, 9, 49 (1990)
G.R. Irwin, J. Appl. Mech. 24, 361 (1957)
S. Kim, A. Barua, Y. Horie, M. Zhou, J. Appl. Phys. 115, 174902 (2014)
D.V. Kubair, P.H. Geubelle, Y.Y. Huang, Eng. Fract. Mech. 70, 685 (2002a)
D.V. Kubair, P.H. Geubelle, Y.Y. Huang, J. Mech. Phys. Solids 50, 1547 (2002b)
H. Lee, V. Tomar, Comput. Mater. Sci. 77, 131 (2013)
H. Lee, V. Tomar, Int. J. Plast. 53, 135 (2014)
A. Levy, J. Mech. Phys. Solids 42, 1087 (1994)
A. Levy, J. Appl. Mech. 63, 357 (1996)
A. Levy, J. Appl. Mech. 67, 727 (2000)
Y.-W. Mai, B.R. Lawn, J. Am. Ceram. Soc. 70, 289 (1987)
G. Mayer, J. Mech. Behav. Biomed. Mater. 4, 670 (2011)
A. Needleman, Procedia IUTAM 10, 221 (2014)
A. Needleman, X.P. Xu, Model. Simul. Mater. Sci. Eng. 1, 111 (1993)
K. Park, G.H. Paulino, Appl. Mech. Rev. 64, 060802 (2013)
C. Prakash, H. Lee, M. Alucozai, V. Tomar, Int. J. Fract. 199, 1 (2016)
J. Qu, Mech. Mater. 14, 269 (1993)
T. Qu, D. Verma, M. Alucozai, V. Tomar, Acta Biomater. 25, 325 (2015)
T. Qu, D. Verma, M. Shahidi, B. Pichler, C. Hellmich, V. Tomar, MRS Bull. 40, 349 (2015)
D. Raabe, P. Romano, C. Sachs, H. Fabritius, A. Al-Sawalmih, S.-B. Yi, G. Servos, H. Hartwig, Mater. Sci. Eng. A 421, 143 (2006)
J.H. Rose, J. Ferrante, J.R. Smith, Am. Phys. Soc. 47, 675 (1981)
A.Y. Roy, R. Narashimhan, P.R. Arora, Acta Mater. 47, 1587 (1999)
O. Samudrala, Y. Huang, A.J. Rosakis, J. Mech. Phys. Solids 50, 1231 (2002)
O. Samudrala, A.J. Rosakis, Eng. Fract. Mech. 70, 309 (2003)
C. Shet, N. Chandra, Mech. Adv. Mater. Struct. 11, 249 (2004)
V. Tvergaard, Eng. Fract. Mech. 70, 1859 (2003)
V. Tvergaard, J.W. Hutchinson, J. Mech. Phys. Solids 40, 1377 (1992)
V. Tvergaard, J.W. Hutchinson, J. Mech. Phys. Solids 41, 1119 (1993)
K.B. Ustinov, R.V. Goldstein, V.A. Gorodtsov, On the modeling of surface and interface elastic effects in case of eigenstrains, in Surface Effects in Solid Mechanics: Models, Simulations and Applications, ed. by H. Altenbach, F. N. Morozov (Springer Berlin Heidelberg, Berlin, 2013), p. 167
D. Verma, J. Singh, A.H. Varma, V. Tomar, JOM 67, 1694 (2015)
D. Verma, V. Tomar, Mater Sci Eng C Mater Biol Appl 44, 371 (2014a)
D. Verma, V. Tomar, J Bionic Eng 11, 360 (2014b)
D. Verma, V. Tomar, J. Mater. Res. 30, 1110 (2015a)
D. Verma, V. Tomar, Mater Sci Eng C Mater Biol Appl 49, 243 (2015b)
Y. Wu, Z. Ling, Z. Dong, Int. J. Solids Struct. 37, 1275 (1999)
V. Yamakov, E. Saether, D.R. Phillips, E.H. Glaessgen, J. Mech. Phys. Solids 54, 1899 (2006)
X.A. Zhong, Mech. Adv. Mater. Struct. 6, 1 (1999)
X.A. Zhong, W.G. Knauss, Trans. ASME 119, 198 (1997)
X.A. Zhong, W. Knauss, Mech. Adv. Mater. Struct. 7, 35 (2000)
Z. Zhong, S.A. Meguid, J. Elast. 46, 91 (1997)
X.W. Zhou, N.R. Moody, R.E. Jones, J.A. Zimmerman, E.D. Reedy, Acta Mater. 57, 4671 (2009)
X.W. Zhou, J.A. Zimmerman, E.D. Reedy, N.R. Moody, Mech. Mater. 40, 832 (2008)
Y. Zhu, K.M. Liechti, K. Ravi-Chandar, Int. J. Solids Struct. 46, 31 (2009)
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Verma, D., Prakash, C., Tomar, V. (2017). Properties of Material Interfaces: Dynamic Local Versus Nonlocal. In: Voyiadjis, G. (eds) Handbook of Nonlocal Continuum Mechanics for Materials and Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-22977-5_21-1
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