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

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      https://www.ias.ac.in/article/fulltext/sadh/037/01/0033-0057

    • Keywords

       

      Fracture of laminated uni-directional composites; initial value problems; modified Adomian decomposition method; experimental and analytical solutions.

    • Abstract

       

      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 from MADM 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.

    • Author Affiliations

       

      B K Raghu Prasad1 P V Ramana1

      1. Department of Civil Engineering, Indian Institute of Science, Bangalore 560 012, India
    • Dates

       
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