TY - JOUR
T1 - Fundamental solutions for singularities within a layered solid
AU - Ma, Lifeng
AU - Zhao, Jing
AU - Korsunsky, Alexander M.
PY - 2012/9
Y1 - 2012/9
N2 - In this paper, the generic fundamental solution for the elastic layered solid with a singularity contained within the solid is derived with the help of the superposition principle. The singularity can be a point force, an edge dislocation, a point moment, a point residual strain nucleus, and so on. The degenerate cases are also derived. The solutions can be used as kernel functions (i.e., Green's functions) to formulate integral equations for problems of the layered solids using the Green's function method. The application of the solutions to evaluate the configuration force on a concentrated point strain near a surface layer is performed.
AB - In this paper, the generic fundamental solution for the elastic layered solid with a singularity contained within the solid is derived with the help of the superposition principle. The singularity can be a point force, an edge dislocation, a point moment, a point residual strain nucleus, and so on. The degenerate cases are also derived. The solutions can be used as kernel functions (i.e., Green's functions) to formulate integral equations for problems of the layered solids using the Green's function method. The application of the solutions to evaluate the configuration force on a concentrated point strain near a surface layer is performed.
KW - Configuration force
KW - Fundamental solutions
KW - Layered solids
UR - https://www.scopus.com/pages/publications/84862804575
U2 - 10.1016/j.euromechsol.2012.01.002
DO - 10.1016/j.euromechsol.2012.01.002
M3 - 文章
AN - SCOPUS:84862804575
SN - 0997-7538
VL - 35
SP - 37
EP - 46
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
ER -