The Experts below are selected from a list of 279 Experts worldwide ranked by ideXlab platform
Antónia Földes - One of the best experts on this subject based on the ideXlab platform.
-
On the Local Time of the Half-Plane Half-Comb Walk
Journal of Theoretical Probability, 2021Co-Authors: Endre Csáki, Antónia FöldesAbstract:The Half-Plane Half-Comb walk is a random walk on the Plane, when we have a square lattice on the upper Half-Plane and a comb structure on the lower Half-Plane, i.e., horizontal lines below the x -axis are removed. We prove that the probability that this walk returns to the origin in 2 N steps is asymptotically equal to $$2/(\pi N).$$ 2 / ( π N ) . As a consequence, we prove strong laws and a limit distribution for the local time.
Endre Csáki - One of the best experts on this subject based on the ideXlab platform.
-
On the Local Time of the Half-Plane Half-Comb Walk
Journal of Theoretical Probability, 2021Co-Authors: Endre Csáki, Antónia FöldesAbstract:The Half-Plane Half-Comb walk is a random walk on the Plane, when we have a square lattice on the upper Half-Plane and a comb structure on the lower Half-Plane, i.e., horizontal lines below the x -axis are removed. We prove that the probability that this walk returns to the origin in 2 N steps is asymptotically equal to $$2/(\pi N).$$ 2 / ( π N ) . As a consequence, we prove strong laws and a limit distribution for the local time.
Y.t. Chou - One of the best experts on this subject based on the ideXlab platform.
-
The crack problem for an orthotropic Half-Plane stiffened by elastic films
International Journal of Engineering Science, 1993Co-Authors: Ravi Mahajan, Fazil Erdogan, Y.t. ChouAbstract:Abstract In this paper, various contact and crack problems for an orthotropic substrate, stiffened by elastic films, are considered. The film is modeled as a membrane and the substrate as an orthotropic Half-Plane with the principal axes of orthotropy parallel and perpendicular to the boundary. The problem is formulated in terms of a system of singular integral equations. Various asymptotic analyses are carried out in order to determine the nature of the stresses singularities. The special cases for which the solution is obtained and results are provided include the stiffened Half-Plane without the crack, the cracked Half-Plane without any stiffeners, the orthotropic Half-Plane with a single stiffener and a crack emanating from the endpoint of the stiffener, and a broken stiffener on a cracked Half-Plane. In each case the influence of the relative crack/stiffener dimensions, the film/substrate stiffness ratios, and the material orthotropy on the stress intensity factors is studied and some sample results are given.
Paul A. Martin - One of the best experts on this subject based on the ideXlab platform.
-
On Green’s function for a bimaterial elastic Half-Plane
International Journal of Solids and Structures, 2003Co-Authors: Paul A. MartinAbstract:The problem of a point force acting in a composite, two-dimensional, isotropic elastic Half-Plane is considered. An exact solution is obtained, using Mellin transforms and the Melan solution for a point force in a homogeneous Half-Plane.
Jie Yang - One of the best experts on this subject based on the ideXlab platform.
-
Thermo-elastic dynamic instability of an elastic Half-Plane sliding against a coated Half-Plane
International Journal of Mechanical Sciences, 2016Co-Authors: Jing Liu, Yue-sheng Wang, Jie YangAbstract:Abstract Thermo-elastic dynamics in the stability of the homogeneous material coated Half-Plane sliding against a homogeneous Half-Plane is investigated by examining the stability of elastic waves caused by the perturbation. Firstly, we consider the case without a coating, i.e. the problem of two Half-Planes sliding against each other. The stability of two types of unstable waves, i.e. Adams’ family wave and Rice's family wave, is analyzed for various material combinations and friction coefficients. It is shown that the Adams’ family wave is more susceptible to thermo-elastic dynamic instability than the Rice's family wave for the same material combinations. Secondly, the stability of these two unstable waves for the homogeneous material coated structure is discussed and the effects of coating materials and thickness on the stability are analyzed. Numerical results show that the material combinations between the coating and the lower Half-Plane and the coating thickness can change the critical friction coefficient and sliding stability;and the favorable coating thickness can be chosen to keep stable sliding for the different coating materials.
