Abstract
The concept of nonlocal continuum, which was introduced into continuum mechanics by Eringen [1,2], Kröner [3] and others, has recently proven to be an effective approach to endow a continuum model for strain-softening damage with a localization limiter which prevents spurious localization instabilities [4–6]. Physical micromechanical justification of this concept, however, has been almost nonexistent.
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References
Eringen, A.C., “Theory of micropolar continuum”, Proc., 9th Midwestern Mechanics Conference, held at University of Wisconsin (1965), 23–40.
Eringen, A.C., “A unified theory of thermomechanical materials”, Int. J. of Engineering Science 4 (1966), 179–202.
Kröner, E., “Elasticity theory of materials with long-range cohesive forces”, Int. J. of Solids and Structures 3 (1968), 731–742.
Baant, Z.P., and Pijaudier-Cabot, G., “Nonlocal continuum damage, localization instability and convergence”, J. of Applied Mechanics ASME 55 (1988), 287–293.
Pijaudier-Cabot, G., and Baant, Z.P., “Nonlocal damage theory”, J. of Engineering Mecanics ASCE 113 (1987), 1512–1533.
Bazant, Z.P., and Ozbolt, J., “Nonlocal microplane model for fracture, damage and size effect in structures”, J. of Engineering Mechanics ASCE 116 (1990), 2485–2505.
Baant, Z.P., “Why continuum damage is nonlocal: justification by microcrack array”, Mechanics Research Communications 14 (1987), 407–419.
S. Kachanov, L.M.,“Time of rupture process under creep conditions”, Izvestia Akadenii Nauk, USSR, 8 (1958), 26–31 (in Russian).
Kachanov, M., “Elastic solids with many cracks — a simple method of analysis”, Int. J. of Solids and Structures 23 (1987), 23–43.
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© 1991 Springer-Verlag Berlin, Heidelberg
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Bažant, Z.P. (1991). Physical Argument for Nonlocality of Microcracking Damage in a Continuum. In: Brüller, O.S., Mannl, V., Najar, J. (eds) Advances in Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-48890-0_18
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DOI: https://doi.org/10.1007/978-3-642-48890-0_18
Publisher Name: Springer, Berlin, Heidelberg
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