Homogenization and global responses of inhomogeneous spherical nonlinear elastic shells Academic Article

abstract

• Homogenization of radially inhomogeneous spherical nonlinear elastic shells subject to internal pressure is studied. The equivalent homogeneous material is defined in such a way that it gives rise to exactly the same global response to the pressure load as that of the inhomogeneous shell. For a shell with general strain-energy function and inhomogeniety, the strain-energy function of the equivalent homogeneous material is determined explicitly. The resulting formula is used to study layered composite shells. The equivalent homogeneous material for an infinitely fine layered composite shell is examined, and is found to give not only the same global response, but also the same average stress field as the composite shell does. Springer 2006.

authors

• Rajagopal, Kumbakonam

published proceedings

• JOURNAL OF ELASTICITY

author list (cited authors)

• Chen, Y., Rajagopal, K. R., & Wheeler, L.

citation count

• 7

complete list of authors

• Chen, Yi-Chao||Rajagopal, KR||Wheeler, Lewis

publication date

• March 2006

publisher

• Springer Nature  Publisher

published in

• Journal of Elasticity  Journal

keywords

• Homogenization Theory
• Inhomogeneous Material
• Layered Composite Material
• Nonlinear Elastic Material

Digital Object Identifier (DOI)

• 10.1007/s10659-005-9031-3

start page

• 193

end page

• 214

volume

• 82

issue

• 3

URL

• http://dx.doi.org/10.1007/s10659-005-9031-3