Discrete and continuous models for dry masonry columns

Muhlhaus, HB, Sulem, J and Unterreiner, P (1997) Discrete and continuous models for dry masonry columns. Journal of Engineering Mechanics-asce, 123 4: 399-403.

Author Muhlhaus, HB
Sulem, J
Unterreiner, P
Title Discrete and continuous models for dry masonry columns
Journal name Journal of Engineering Mechanics-asce   Check publisher's open access policy
ISSN 0733-9399
Publication date 1997
Sub-type Article (original research)
Volume 123
Issue 4
Start page 399
End page 403
Total pages 5
Language eng
Abstract The dynamic response of dry masonry columns can be approximated with finite-difference equations. Continuum models follow by replacing the difference quotients of the discrete model by corresponding differential expressions. The mathematically simplest of these models is a one-dimensional Cosserat theory. Within the presented homogenization context, the Cosserat theory is obtained by making ad hoc assumptions regarding the relative importance of certain terms in the differential expansions. The quality of approximation of the various theories is tested by comparison of the dispersion relations for bending waves with the dispersion relation of the discrete theory. All theories coincide with differences of less than 1% for wave-length-block-height (L/h) ratios bigger than 2 pi. The theory based on systematic differential approximation remains accurate up to L/h = 3 and then diverges rapidly. The Cosserat model becomes increasingly inaccurate for L/h < 2 pi. However, in contrast to the systematic approximation, the wave speed remains finite. In conclusion, considering its relative simplicity, the Cosserat model appears to be the natural starting point for the development of continuum models for blocky structures.
Keyword Engineering, Mechanical
Virtual Power
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Earth Systems Science Computational Centre Publications
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Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 13 Aug 2007, 16:44:37 EST