Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (12): 1374-1381.

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STUDY ON DYNAMIC CONSTITUTIVE RELATIONS FOR CONCRETE WITH FINITE DEFORMATION

CHEN Shu-yu1, SHEN Cheng-kang2, JIN Wu-gen1   

  1. 1. Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China;
    2. Institute of Structural Engineering and Disaster Reduction, Tongji University, Shanghai 200092, P. R. China
  • Received:2003-04-03 Revised:2004-06-22 Online:2004-12-18 Published:2004-12-18

Abstract: The differences between finite deformation and infinitesimal deformation are discussed. They are exercised on elasto-viscoplastic constitutive relations of concrete. Then, a rate-dependent mechanics model was presented on the basis of Ottosen's four-parameter yield criterion, where different loading surface transferring laws were taken into account, when material was in hardening stage or in softening stage, respectively. The model is well established, so that it can be applied to simulate the response of concrete subject to impact loading. Green-Naghdi stress rate was introduced as objective stress rate. Appropriate hypothesis was postulated in accordance with many experimental results, which could reflect the mechanical behaviour of concrete with large deformation. Available thoughts as well as effective methods are also provided for the research on related engineering problems.

Key words: constitutive model, finite deformation, concrete, strain-rate effect, impact loading

2010 MSC Number: 

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