Elastic moduli of simple mass spring models

Verfasser / Beitragende:
[Maciej Kot, Hiroshi Nagahashi, Piotr Szymczak]
Ort, Verlag, Jahr:
2015
Enthalten in:
The Visual Computer, 31/10(2015-10-01), 1339-1350
Format:
Artikel (online)
ID: 605540632
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024 7 0 |a 10.1007/s00371-014-1015-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s00371-014-1015-5 
245 0 0 |a Elastic moduli of simple mass spring models  |h [Elektronische Daten]  |c [Maciej Kot, Hiroshi Nagahashi, Piotr Szymczak] 
520 3 |a Mass spring models (MSMs) are a popular choice for representation of soft bodies in computer graphics and virtual reality applications. In this paper, we investigate physical properties of the simplest MSMs composed of mass points and linear springs. The nodes are either placed on a cubic lattice or positioned randomly within the system. We calculate the elastic moduli for such models and relate the results to other studies. We show that there is a well-defined relationship between the geometric characteristics of the MSM systems and physical properties of the modeled materials. It is also demonstrated that these models exhibit a proper convergence to a unique solution upon mesh refinement and thus can represent elastic materials with a high precision. 
540 |a Springer-Verlag Berlin Heidelberg, 2014 
690 7 |a Mass spring model  |2 nationallicence 
690 7 |a Soft body deformation  |2 nationallicence 
690 7 |a Physically based modeling  |2 nationallicence 
700 1 |a Kot  |D Maciej  |u Imaging Science and Engineering Laboratory, Tokyo Institute of Technology, Tokyo, Japan  |4 aut 
700 1 |a Nagahashi  |D Hiroshi  |u Imaging Science and Engineering Laboratory, Tokyo Institute of Technology, Tokyo, Japan  |4 aut 
700 1 |a Szymczak  |D Piotr  |u Faculty of Physics, Institute of Theoretical Physics, University of Warsaw, Warsaw, Poland  |4 aut 
773 0 |t The Visual Computer  |d Springer Berlin Heidelberg  |g 31/10(2015-10-01), 1339-1350  |x 0178-2789  |q 31:10<1339  |1 2015  |2 31  |o 371 
856 4 0 |u https://doi.org/10.1007/s00371-014-1015-5  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s00371-014-1015-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Kot  |D Maciej  |u Imaging Science and Engineering Laboratory, Tokyo Institute of Technology, Tokyo, Japan  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Nagahashi  |D Hiroshi  |u Imaging Science and Engineering Laboratory, Tokyo Institute of Technology, Tokyo, Japan  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Szymczak  |D Piotr  |u Faculty of Physics, Institute of Theoretical Physics, University of Warsaw, Warsaw, Poland  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t The Visual Computer  |d Springer Berlin Heidelberg  |g 31/10(2015-10-01), 1339-1350  |x 0178-2789  |q 31:10<1339  |1 2015  |2 31  |o 371