On bending an elastic plate with a delaminated thin rigid inclusion
Tóm tắt
Từ khóa
Tài liệu tham khảo
A. M. Khludnev and V. A. Kovtunenko, Analysis of Cracks in Solids (WIT Press, Southampton, Boston, 2000).
A. M. Khludnev, “Theory of Cracks with a Possible Contact of the Surfaces of the Crack,” Uspekhi Mekh. 3(4), 41–82 (2005).
K.-H. Hoffmann and A. M. Khludnev, “Fictitious Domain Method for the Signorini Problem in a Linear Elasticity,” Adv. Math. Sci. Appl. 14(2), 465–481 (2004).
E. M. Rudoi, “Differentiation of the Energy Functionals in Three-Dimensional Elasticity Theory for the Bodies with Surface Cracks,” Sibirsk. Zh. Industr. Mat. 8(1), 106–116 (2005).
E.M. Rudoi, “Differentiation of the Energy Functionals in the Problem on a Curvilinear Crack with Possible Contact of the Crack Surfaces,” Izv. Ross. Akad. Nauk Mekh. Tverd. Tela 6, 113–127 (2007).
V. A. Kovtunenko, “Invariant Energy Integrals for the Nonlinear Crack Problem with Possible Contact of the Crack Surfaces,” Prikl. Mat. Mekh. 67(1), 109–123 (2003) [J. Appl. Math. Mech. 67 (1), 99–110 (2003)].
G. Leugering and A. M. Khludnev, “On Equilibrium of Elastic Bodies with Thin Rigid Inclusions,” Dokl. Akad. Nauk 43(1), 1–4 (2010).
A.M. Khludnev, “Crack Problem at the Boundary of a Rigid Inclusion in the Elastic Plate,” Preprint No. 1-09 (Inst. of Hydrodynamics, Novosibirsk, 2009).
N. V. Neustroeva, “A Rigid Inclusion in a Contact Problem for Elastic Plates” Sibirsk. Zh. Industr. Mat. 12(4), 92–105 (2009).
N. V. Neustroeva, “Unilateral Contact of Elastic Plates with a Rigid Inclusion,” Vestnik Novosib. Gos. Univ. Ser. Mat. Mekh. Informat. 9(4), 51–64 (2009).
A. M. Khludnev, A. A. Novotny, J. Sokolowski, and A. Zochowski, “Shape and Topology Sensitivity Analysis for Cracks in Elastic Bodies on Boundaries of Rigid Inclusions,” J. Mech. Phys. Solids (2009) 57(10), 1718–1732.
G. Fichera, Boundary Value Problems of Elasticity with Unilateral Constraints: Handbuch der Physik, Band 6a/2 (Springer, Berlin, 1972; Mir, Moscow, 1974).
P. Grisvard, Singularities in Boundary Value Problems (Masson, Springer, 1992).