𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Numerical analysis and simulations of a dynamic frictionless contact problem with damage

✍ Scribed by M. Campo; J.R. Fernández; K.L. Kuttler; M. Shillor; J.M. Viaño


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
449 KB
Volume
196
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis


The process of dynamic frictionless contact between a viscoelastic body and a reactive foundation, which includes material damage, is modelled, numerically analyzed, and simulated. Contact is modelled with the normal compliance condition. The damage of the material, resulting from tension or compression, is described by the damage field which measures the pointwise fractional decrease in the load carrying capacity of the material. The evolution of the damage is governed by a parabolic differential inclusion. A fully discrete scheme for the problem is proposed, and error estimates on the numerical solutions derived. The scheme has been implemented and numerical simulations of the evolution of the mechanical state of the system and its material damage are presented.


📜 SIMILAR VOLUMES


Regularity of solutions to a dynamic fri
✍ K.L. Kuttler; M. Shillor 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 206 KB

The regularity in time of solutions to a problem of frictionless dynamic contact between a viscoelastic body and a reactive foundation is established. Contact is modeled with the normal compliance condition. It is shown that the differentiability of the normal compliance function, its behavior at th

Analysis and numerical solution of a fri
✍ Weimin Han; M. Sofonea; Kamran Kazmi 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 488 KB

A quasistatic frictionless contact problem is studied, modelled with the Signorini contact condition with a gap function. The material behavior is modelled with an electro-elastic-visco-plastic constitutive law, allowing piezoelectric effects. A weak formulation for the model is given in the form of

Numerical analysis of a dynamic piezoele
✍ M. Barboteu; J.R. Fernández; R. Tarraf 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 683 KB

A dynamic frictionless contact problem between a viscoelastic piezoelectric body and a deformable obstacle is numerically studied in this paper. The contact is modelled using the normal compliance contact condition and the linear electro-viscoelastic constitutive law is employed to simulate the piez

Numerical simulation of submarine pipeli
✍ Kalliontzis, C. 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 297 KB 👁 1 views

The dynamic response of submarine pipelines to earthquake-generated vertical seabed motions is examined with the aid of a finite element model. A relaxation algorithm is adopted in order to overcome the problem of unknown dynamic seabed reaction forces. Rotational rigidity is assumed at the boundary