Computational methods for estimation in the modeling of nonlinear elastomers
Computational study of the Willmore flow on graphs
Computations for a vibrating system diagonalize the variance.
Concentrated force in quarter-space with a free or fixed half-plane and mixed boundary conditions on the other one.
Concentrated forces. Asymptotic study
Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
Conditions for periodic vibrations in a symmetric n-string
A symmetric N-string is a network of N ≥ 2 sections of string tied together at one common mobile extremity. In their equilibrium position, the sections of string form N angles of 2π/N at their junction point. Considering the initial and boundary value problem for small-amplitude oscillations perpendicular to the plane of the N-string at rest, we obtain conditions under which the solution will be periodic with an integral period.
Conditions of cracking of a stringer.
Condizioni caratteristiche per le componenti dello stress
Condizioni caratteristiche per le componenti dello «stress» nel caso di corpi convessi
Conical differentiability for bone remodeling contact rod models
We prove the conical differentiability of the solution to a bone remodeling contact rod model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross section of the rod. The proof is based on the special structure of the model, composed of a variational inequality coupled with an ordinary differential equation with respect to time. This structure enables the verification of the two following fundamental results: the polyhedricity of a modified displacement...
Conical differentiability for bone remodeling contact rod models
We prove the conical differentiability of the solution to a bone remodeling contact rod model, for given data (applied loads and rigid obstacle), with respect to small perturbations of the cross section of the rod. The proof is based on the special structure of the model, composed of a variational inequality coupled with an ordinary differential equation with respect to time. This structure enables the verification of the two following fundamental results: the polyhedricity of a modified displacement constraint...
Connectivity properties of the range of a weak diffeomorphism
Constrained and unconstrained optimization formulations for structural elements in unilateral contact with an elastic foundation.
Constrained elasticity
Some foundational aspects of the constitutive theory of finite elasticity are considered in the case, regarded here as general, when internal kinematical constraints are imposed. The emphasis is on the algebraic-geometric structure induced by constraints. In particular, old and new examples of internal constraints are reviewed, and the material symmetry issue in the presence of constraints is discussed.
Constructing soliton and kink solutions of PDE models in transport and biology.
Construction of entropy solutions for one dimensional elastodynamics via time discretisation
Contact between elastic bodies. I. Continuous problems
Problems of a unilateral contact between bounded bodies without friction are considered within the range of two-dimensional linear elastostatics. Two classes of problems are distinguished: those with a bounded contact zone and with an enlargign contact zone. Both classes can be formulated in terms of displacements by means of a variational inequality. The proofs of existence of a solution are presented and the uniqueness discussed.
Contact between elastic bodies. II. Finite element analysis
The paper deals with the approximation of contact problems of two elastic bodies by finite element method. Using piecewise linear finite elements, some error estimates are derived, assuming that the exact solution is sufficiently smooth. If the solution is not regular, the convergence itself is proven. This analysis is given for two types of contact problems: with a bounded contact zone and with enlarging contact zone.
Contact between elastic bodies. III. Dual finite element analysis
The problem of a unilateral contact between elastic bodies with an apriori bounded contact zone is formulated in terms of stresses via the principle of complementary energy. Approximations are defined by means of self-equilibriated triangular block-elements and an -error estimate is proven provided the exact solution is regular enough.