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Periodic cracking of elastic coatings

机译:弹性涂层的定期开裂

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In this study the periodic cracking of an elastic coating bonded to a homogeneous substrate is considered. The problem is assumed to simulate the segmentation or "mud-flat" cracking of ceramic layers used as thermal barrier coatings in stationary and aircraft gas turbine engines. By expressing the displacements in terms of a combination df finite and infinite Fourier transforms, the corresponding mixed boundary value problem is reduced to an integral equation with the crack surface displacement as the unknown function. The main objective of the study is the examination of the influence of the length parameters c/b and b/h and the stiffness ratio mu(2)/mu(1) on the crack tip stress intensity factors, the crack opening displacement, the strain energy released as a result of periodic cracking, and the in-plane tensile stress on the coating surface, where c, b, h, mu(1) and mu(2), respectively, are crack spacing, crack depth, coating thickness, shear modulus of the coating, and sheer modulus of the substrate. The case of a periodically cracked strip is investigated separately and the stress intensity factors under fixed-load and fixed-grip conditions are compared. Also, the validity of the assumption made in simple energy balance calculations to the effect that the entire strain energy contained within the volume of the cell is released during periodic cracking is studied. It is shown that such an assumption is valid only for very small values of relative crack spacing c/b. (C) 1998 Elsevier Science Ltd. All rights reserved. [References: 19]
机译:在这项研究中,考虑了粘合到均匀基材上的弹性涂层的周期性开裂。假设该问题是为了模拟在固定式和飞机燃气涡轮发动机中用作隔热涂层的陶瓷层的分段或“泥浆状”开裂。通过用有限和无限傅里叶变换组合表示位移,相应的混合边值问题被简化为一个以裂纹表面位移为未知函数的积分方程。研究的主要目的是研究长度参数c / b和b / h以及刚度比mu(2)/ mu(1)对裂纹尖端应力强度因子,裂纹开口位移,周期性裂纹释放的应变能以及涂层表面的面内拉应力,其中c,b,h,mu(1)和mu(2)分别是裂纹间距,裂纹深度,涂层厚度,涂层的剪切模量和基材的剪切模量。分别研究了周期性裂纹的情况,并比较了在固定载荷和固定抓紧条件下的应力强度因子。而且,研究了在简单的能量平衡计算中做出的假设的有效性,该假设对于在周期性裂化期间释放包含在单元体积内的全部应变能的效果。结果表明,这种假设仅对很小的相对裂纹间距c / b有效。 (C)1998 Elsevier ScienceLtd。保留所有权利。 [参考:19]

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