A note on integration schemes for the microplane model of the mechanical behaviour of concrete

摘要: This paper discusses some aspects of the practical implementation very comprehensive ‘microplane’ model mechanical behaviour concrete, proposed by Bažant and coworkers. involves numerical integration quantities over a hemisphere. The solution usually adopted is Gaussian with 21 or 28 points. However, Qiu Crouch recently showed that this may be insufficient, to use more Gauss experience shows strategy relatively inefficient. Also, generating schemes high order on hemisphere cumbersome task. An alternative scheme proposed, which combines efficiency ease automatic generation refined formulae. Copyright © 2004 John Wiley & Sons, Ltd.