𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Rate-independent processes in viscous solids at small strains

✍ Scribed by Tomáš Roubíček

Book ID
102515504
Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
338 KB
Volume
32
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The so‐called generalized standard solids (of Halphen–Nguyen type) involving also activated typically rate‐independent processes such as plasticity, damage, or phase transformations are described as a system of a momentum equilibrium equation and a variational inequality for inelastic evolution of internal‐parameter variables. Various definitions of solutions are examined, especially from the viewpoint of the ability to combine rate‐independent processes and other rate‐dependent phenomena, as viscosity or also inertia. If those rate‐dependent phenomena are suppressed, then the system becomes fully rate‐independent. Illustrative examples are presented as well. Copyright © 2008 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Erratum to the article: Tomáš Roubíček:
Erratum to the article: Tomáš Roubíček: Rate independent processes in viscous solids at small strains. Math. Meth. Appl. Sci. 2009; 32:825–862
📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 22 KB

During the typesetting and publishing process a number of errors were inadvertently added. Unfortunately, the following errors have remained in the corrected published version. p. 830, line 14: ' 1/4 2 ' should be 1 4 2 . p. 831, line 7 bottom: '(16) or (16)' should be '(16) or (17)'. p. 840, line 8