𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A unified analysis for stress/strain hybrid methods of high performance

✍ Scribed by Tian-xiao Zhou; Xiao-ping Xie

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
203 KB
Volume
191
Category
Article
ISSN
0045-7825

No coin nor oath required. For personal study only.

✦ Synopsis

Several methods have been developed in the literatures of computational mechanics to improve the performance of the conventional lower-order displacement finite elements which yield poor results for problems with bending and for nearly incompressible medium. This paper is devoted to a unified analysis of convergence for Pian-SumiharaÕs, Chen-CheungÕs and Piltner-TaylorÕs enhanced stress/strain schemes. By virtue of the energy compatibility and the rank condition, error estimates for these typical finite elements of high performance are obtained in a unified framework, and especially, weakly locking-free error estimates with respect to the PoissonÕs ratio m in energy norms are obtained uniformly for m 6 ð1 À ChÞ=2 as h ! 0, where C is a constant independent of m and the mesh size h. Very much the same about the three methods is pointed out.

📜 SIMILAR VOLUMES

Novel methods for the performance analys
Novel methods for the performance analysis of adaptive hybrid selective repeat ARQ
✍ H. Jianhua; K.R. Subramanian; D. Donghua; W. Wei 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 245 KB

In this paper we present two novel approximation methods for the performance analysis of selective repeat (SR) ARQ protocol with any size of buffer. The methods are called sequential method (SM) and stable function method (SFM). Both SM and SFM methods provide highly accurate results as compared to

Hybrid method for stress analysis of fin
Hybrid method for stress analysis of finite three-dimensional elastic components
✍ Xin-Lin Gao; Robert E. Rowlands 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 248 KB

A new hybrid experimental±analytical/numerical method for stress analysis of a ®nite three-dimensional elastic component is developed in this paper. It uses the experimentally measured surface stresses and a Green's function method to determine the displacement ®eld (and thus strain and stress ®elds

Toward unified analysis and controller s
Toward unified analysis and controller synthesis for a class of hybrid systems
✍ Luis Rodrigues; Jonathan P. How 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 364 KB

This work defines a new class of hybrid systems called state-based switched (SBS) systems that have numerous important engineering applications. The characterizing feature of these systems is that the discrete-event dynamics are associated with the continuous-time state making a specific function be