Three-dimensional shakedown solutions for cohesive-frictional materials under moving surface loads
Three-dimensional shakedown solutions for cohesive-frictional materials under moving surface loads
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DOI：
10.1016/j.ijsolstr.2012.08.011
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发表时间：
2012-12
影响因子：
3.6
通讯作者：
Hai-Sui Yu;Juan Wang
中科院分区：
文献类型：
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作者：
Hai-Sui Yu;Juan Wang
人行道和轨道设计对社会有着巨大的重要性，但目前大多数设计方法的理论基础仍然非常简单和粗糙（Brown, 1996; Yu, 2006）。这篇论文是诺丁汉地质力学中心为改进路面和轨道设计的理论基础而共同努力的一部分。主要研究粘结摩擦材料在三维移动交通荷载作用下安定性的严格下界解的发展。与以往的研究相比，本文考虑了两个重要方面。首先，本文考虑了交通与材料表面之间椭圆接触面积的更一般情况，因为之前的大多数下界研究都认为交通荷载是通过无限长的滚子施加的。其次，通过引入临界自平衡残余应力场，将安定问题简化为仅包含载荷参数的公式。通过使用一个简单的优化过程，最大负载参数导致这个问题的下限安定限制。对于圆形接触面积的特殊情况，也以解析形式给出了结果，可以很容易地应用于实际设计。
Pavement and railtrack design is of huge importance to society and yet the theoretical basis for most current design methods is still very simplistic and crude (Brown, 1996; Yu, 2006). This paper is part of a concerted effort at the Nottingham Centre for Geomechanics to develop improved theoretical foundations for pavement and railtrack design. It is mainly concerned with the development of rigorous lower-bound solutions for shakedown of cohesive-frictional materials under three-dimensional moving traffic loads. Compared with previous studies, two important aspects are taken into account. First, this paper considers a more general case of elliptical contact area between traffic and material surface, as most previous lower-bound studies considered the traffic load is applied through an infinite long roller. Secondly, by introducing a critical self-equilibrated residual stress field, this shakedown problem is reduced to a formulation in terms of a load parameter only. By using a simple optimisation procedure, the maximum load parameter leads to a lower-bound shakedown limit to this problem. Results for the special case of circular contact area are also presented in analytical form, which can then be readily applied for practical design.