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The homogenized static model of elastic composite reinforced by curvilinear inclusions
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DOI：10.1016/j.mechrescom.2026.104657.png)
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Abstract
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The two-dimensional static problem of linear elasticity for a body with incorporated thin curvilinear inclusions is studied. The inclusions (for example, rods or filaments) are assumed to be periodically situated and the problem contains a small parameter e > 0, which characterizes the distance between two neighboring inclusions. Using the two-scale convergence approach, we carry out the homogenization procedure as e-0. As a result, we obtain a homogenized model of an anisotropic inhomogeneous body with effective characteristics inheriting the mechanical properties of inclusions, in which the amplifying effect of inclusions is significant.
Keywords:
Linear elasticity
Static problem
Composite material
Thin inclusion
Homogenization
Two-scale convergence
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2.3
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115
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3.9K
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