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61:
240:{\displaystyle \sigma _{ij}={\Bigl (}\lambda \varepsilon _{kk}\delta _{ij}+2\mu \varepsilon _{ij}{\Bigr )}-l_{s}^{2}\,\Delta \,{\Bigl (}\lambda \varepsilon _{kk}\delta _{ij}+2\mu \varepsilon _{ij}{\Bigr )},}
39:
elasticity models (which contains five extra constants) is the fact that solutions of boundary value problems can be found in terms of corresponding solutions of classical elasticity by
303:"On the role of gradients in the localization of deformation and fracture" International Journal of Engineering Science Volume 30, Issue 10, October 1992, Pages 1279–1299
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316:"On the gradient approach – Relation to Eringen’s nonlocal theory" International Journal of Engineering Science Volume 49, Issue 12, December 2011, Pages 1367–1377
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322:"A simple approach to solve boundary value problems in gradient elasticity. Acta Mechanica, 1993, Volume 101, Issue 1-4, pp 59-68.
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309:"On non-singular GRADELA crack fields" Theor. Appl. Mech. Lett. 2014, Vol. 4 Issue (5): 5-051005
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and discontinuities and to interpret elastic size effects. This model has been suggested by
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model involving one internal length in addition to the two
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50:a generalization of the linear elastic
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27:. It allows eliminating elastic
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289:Mindlin–Reissner plate theory
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320:C. Q. Ru, E. C.Aifantis,
274:is the scale parameter.
311:DOI: 10.1063/2.1405105
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52:constitutive relations
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267:{\displaystyle l_{s}}
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19:is a simple gradient
338:Elasticity (physics)
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41:operator splitting
284:Linear elasticity
48:Elias C. Aifantis
33:Elias C. Aifantis
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314:E. C. Aifantis,
307:E. C. Aifantis,
301:E. C. Aifantis,
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25:Lamé parameters
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29:singularities
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58:in the form
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332:Categories
295:References
21:elasticity
216:ε
212:μ
194:δ
181:ε
177:λ
166:Δ
147:−
128:ε
124:μ
106:δ
93:ε
89:λ
67:σ
56:Laplacian
37:Mindlin's
278:See also
43:method.
17:GRADELA
247:where
334::
260:s
256:l
235:,
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223:j
220:i
209:2
206:+
201:j
198:i
188:k
185:k
172:(
160:2
155:s
151:l
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135:j
132:i
121:2
118:+
113:j
110:i
100:k
97:k
84:(
79:=
74:j
71:i
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