ISSN:
1573-2754
Schlagwort(e):
eigenstrain
;
elastic layer
;
three-dimensional analysis
;
O781
;
74B20
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Maschinenbau
,
Mathematik
,
Physik
Notizen:
Abstract Elastic layers with varying dilative eigenstrains through the thickness were concerned. A general procedure was proposed for the analysis of such layers under arbitrary loads. The study is based on the state-space method and an asymptotic expansion technique. When the external loads are uniform, the expansion terminates after some leading terms, and an explicit representation for the mechanical field in a layer is obtained. This representation relies only on the displacement components of the mid-plane, which are governed by a set of two-dimensional differential equations similar to those in the classical plate theory. Consequently, obtaining the solution to the two-dimensional equations immediately gives the three-dimensional responses of the layer. As an illustrative example, a clamped elliptical layer under a uniformly distributed transverse load is analyzed in detail.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF02437632
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