TY - JOUR
T1 - Local boundary integral equation (LBIE) method for solving problems of elasticity with nonhomogeneous material properties
AU - Sladek, J.
AU - Sladek, V.
AU - Atluri, S. N.
PY - 2000/1
Y1 - 2000/1
N2 - This paper presents the local boundary integral formulation for an elastic body with nonhomogeneous material properties. All nodal points are surrounded by a simple surface centered at the collocation point. Only one nodal point is included in each the sub-domain. On the surface of the sub-domain, both displacements and traction vectors are unknown generally. If a modified fundamental solution, for governing equation, which vanishes on the local boundary is chosen, the traction value is eliminated from the local boundary integral equations for all interior points. For every sub-domain, the material constants correspond to those at the collocation point at the center of sub-domain. Meshless and polynomial element approximations of displacements on the local boundaries are considered in the numerical analysis.
AB - This paper presents the local boundary integral formulation for an elastic body with nonhomogeneous material properties. All nodal points are surrounded by a simple surface centered at the collocation point. Only one nodal point is included in each the sub-domain. On the surface of the sub-domain, both displacements and traction vectors are unknown generally. If a modified fundamental solution, for governing equation, which vanishes on the local boundary is chosen, the traction value is eliminated from the local boundary integral equations for all interior points. For every sub-domain, the material constants correspond to those at the collocation point at the center of sub-domain. Meshless and polynomial element approximations of displacements on the local boundaries are considered in the numerical analysis.
UR - http://www.scopus.com/inward/record.url?scp=0033892306&partnerID=8YFLogxK
U2 - 10.1007/s004660050005
DO - 10.1007/s004660050005
M3 - Article
AN - SCOPUS:0033892306
SN - 0178-7675
VL - 24
SP - 456
EP - 462
JO - Computational Mechanics
JF - Computational Mechanics
IS - 6
ER -