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Modified Adomian decomposition method for fracture of laminated uni-directional composites

机译:修正的Adomian分解方法用于单向复合材料的断裂

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In this paper, the well-known Adomian Decomposition Method (ADM) is modified to solve the fracture laminated multi-directional problems. The results are compared with the existing analytical/exact or experimental method. The already known existing ADM is modified to improve the accuracy and convergence. Thus, the modified method is named as Modified Adomian Decomposition Method (MADM). The results fromMADM are found to converge very quickly, simple to apply for fracture(singularity) problems and are more accurate compared to experimental and analytical methods. MADM is quite efficient and is practically well-suited for use in these problems. Several examples are given to check the reliability of the present method. In the present paper, the principle of the decomposition method is described, and its advantages form the analyses of fracture of laminated uni-directional composites.
机译:在本文中,对著名的Adomian分解方法(ADM)进行了修改,以解决断裂叠层多方向问题。将结果与现有的分析/精确或实验方法进行比较。对已知的现有ADM进行修改以提高准确性和收敛性。因此,修改后的方法称为修改后的Adomian分解方法(MADM)。发现MADM的结果收敛非常快,易于解决断裂(奇异)问题,并且与实验和分析方法相比更准确。 MADM非常有效,并且非常适合用于这些问题。给出几个例子来检验本方法的可靠性。本文介绍了分解方法的原理,其优点是通过分析层压单向复合材料的断裂来实现的。

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