Dual reciprocity boundary element method: Methodology and applications in structural engineering

The Dual Reciprocity Boundary Element Method (DRBEM) is a numerical technique that has been widely employed in structural engineering for solving boundary value problems. This method is based on the principle of reciprocity, which allows the application of boundary conditions at fictitious points on the actual domain of interest. In recent years, there has been a growing interest in the development and application of DRBEM formulations for different areas of engineering problems, such as heat transfer in solids, convection and diffusion problems, acoustics, and fluid flow in porous media. This review paper provides a comprehensive overview of DRBEM formulations and focuses on their applications in structural engineering. The major advantages and limitations of DRBEM are discussed, along with the various approaches that employ different radial basis functions in its implementation are presented. The review also highlights several case studies that demonstrate the effectiveness of DRBEM in solving complex structural engineering problems, such as stress analysis, crack propagation in materials, and structural dynamics. Furthermore, the paper identifies several areas where DRBEM can be further improved. Overall, this review paper provides valuable insights into the DRBEM method and its potential for solving complex structural engineering problems. The summary presented in this paper can help researchers and practitioners in the field of structural engineering to better understand the capabilities of DRBEM and its potential applications in their work.