Shahid Rajaee Teacher Training University (SRTTU) Journal of Computational & Applied Research in Mechanical Engineering (JCARME) 2228-7922 6 2 2017 03 03 An efficient finite difference time domain algorithm for band structure calculations of Phononic crystal 93 101 601 10.22061/jcarme.2017.601 EN M. Moradi Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran M. Bagheri Nouri Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran Journal Article 2015 10 31 In this paper, a new algorithm for studying elastic wave propagation in the phononic crystals is presented. At first, the displacement-based forms of elastic wave equations are derived and then the forms are discretized using finite difference method. So the new algorithm is called the displacement-based finite difference time domain (DBFDTD). Three numerical examples are computed with this method and the results are compared with experimental measurements and the conventional FDTD method. Also, the computational cost of the new approach is compared with the conventional FDTD method. The comparison showed that the calculation time of the DBFDTD method is 37.5 percent less than that of the FDTD method. https://jcarme.sru.ac.ir/article_601_6aab0bc77743acfa4b9b33f893f84ea1.pdf