"This article provides a solution of the plane contact problem with the use of a finite-element method. It presents the algorithms to determine the “node – response surface” contacting pairs through method of minimal penetration of contacting bodies. The article also contains the algorithm of rapid formation of the global stiffness matrix, taking into account the changes of the connections between mesh nodes for each iteration of solving in the Mathcad software."

Keywords: solution of the contact problem, flat stress strain state of the finite element method, Mathcad

The article contais numerical analytical solution of the contact problem with termal creep of main material, based on the limited precision of machine arithmetic and practical significance of the result. A solution of the 2nd kind Volterra integral equation , which is the main task of resolving equations is made by replacing the integrand function and the introduction of "conditional indefinitely". The article contais analysis of the behavior of the function with all changes.

Keywords: "solution of the plane contact problem numerical solution material termal creep"

"The article treats the issues of data exchange between Mathcad and Gmsh. To solve this problem built-in and predefined functions are used in Mathcad without recourse to UFI tools. The solution proposed in the article is connected with importing a mesh with a complex topology into Mathcad for further processing with the use of numerical methods. The solution involving a partially automated transmission of the results of calculations in the nodes of spatial mesh cells for further visualization is also considered in the article."

Keywords: visualization of numerical results, transfer mesh with complex topology, Gmesh, Mathcad