A nite element formulation to deal with the friction contact problem between an elastic body and a rigid foundation is presented. An augmented Lagrangian method, which incorporates two Lagrange multipliers and a slack variable in the constraint equation, is developed. In this method, the solution is achieved through a Newton-Raphson monolithic iterative strategy and leads to simple implementati...

This article explains the basic elements of an approach to physically-based modeling which is well suited for interactive use. It is simple, fast, and quite stable, and in its basic version the method does not require knowledge of advanced mathematical subjects (although it is based on a solid mathematical foundation). It allows for simulation of both cloth; soft and rigid bodies; and even arti...

Abstract: We consider the solvability of a hybrid model for the vibration of a vertical slender structure mounted on an elastic seating. The slender structure is modeled as a Rayleigh beam and gravity is taken into account. The seating and foundation block are modeled as rigid bodies connected by elastic springs with damping mechanisms. We show how an existence result for a general linear vibra...

Existence of weak solutions to the 3-D semi-geostrophic equations with rigid boundaries was proved by Benamou and Brenier [3], using Monge transport theory. This paper extends the results to a free surface boundary condition, which is more physically appropriate. This extension is at present for the 2-D shallow water case only. In addition, we establish stronger time regularity than was possibl...

The Signorini problem describes the contact of a linearly elastic body with a rigid frictionless foundation. It is transformed into a saddle point problem of some augmented Lagrangian functional and then discretized by nite element methods. Optimal error estimates are obtained for general smooth domains which are not necessarily convex. The key ingredient in the analysis is a discrete inf-sup c...

This paper aims to provide support for the view that individual concepts are basic to natural language semantics. First, the use of constant individual concepts allows us to maintain Kripke’s view of proper names as nondescriptional rigid designators in the face of problems created by so-called “empty names.” And second, the distinction between constant and variable individual concepts can func...

We give a partial positive answer to a conjecture of Tyurin ([28]). Indeed we prove that on a general quintic hypersurface of P every arithmetically Cohen–Macaulay rank 2 vector bundle is infinitesimally rigid.

This paper considers the impact of foundation geometry on vibrations transferred to a building in vicinity railway line from aspect choosing an appropriate type. For this purpose, 1-g scale physical model is developed that includes main parts containing dry sandy soil, rigid soil container, and five-story structure with three types foundations, i.e., single, strip mat. Next, effects floor slab ...

Abstract T‐stubs and L‐stubs loaded in tension are generally assumed contact with a rigid foundation. The prying force stiffness of these components depend on this hypothesis. For double web angle riveted connections, the rests deformable beam/column web. objective present paper is to take into account effects deformability development area, rivet forces tensile stiffness. An enhanced theory be...