Hg. Beom et Yy. Earmme, The elastic field of an elliptic cylindrical inclusion in a laminate with multiple isotropic layers, J APPL MECH, 66(1), 1999, pp. 165-171
Citations number
13
Categorie Soggetti
Mechanical Engineering
Journal title
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME
An elliptic cylindrical inclusion with an eigenstrain in an infinite lamina
te composed of multiple isotropic layers is analyzed The problem is formula
ted by using the classical laminated plate theory in which displacement fie
lds in the laminated plate are expressed in terms of in-plane displacements
on the main plane and transverse displacement. Employing a method based on
influence functions, an integral type solution to the equilibrium equation
is expressed in terms of the eigenstrain. Closed form solutions for the el
astic fields are obtained by evaluating the integrals explicitly for interi
or points and exterior points of the ellipse. The elastic fields caused by
an elliptic cylindrical inhomogeneity with an eigenstrain in the infinite l
aminate are determined by the equivalent eigenstrain method. Solutions for
a finite laminate with an eigenstrain in a circular cylindrical inhomogenei
ty are also obtained in terms of material and geometric parameters for each
layer composing the laminate.