Computational Structural Mechanics

Toc: Cover......Page 1COMPUTATIONAL STRUCTURAL MECHANICS: Static and Dynamic Behaviors ......Page 4Copyright ......Page 5Preface......Page 6Acknowledgments......Page 111.1 Origin of FG materials......Page 121.2 Static bending analysis......Page 131.2.1 Bending of FG beams......Page 141.2.2 Bending of FG plates......Page 151.3 Dynamic (or vibration) characteristics......Page 171.3.1 Vibration of FG beams......Page 181.3.2 Vibration of FG plates......Page 191.4 Recent developments in numerical methods......Page 202.2 Recent developments......Page 222.3 Computational algorithms......Page 243.1 Background......Page 273.2 Recent developments......Page 283.3 Computational algorithms......Page 293.3.1 Weighting coefficients of first-order derivative......Page 303.3.2 Weighting coefficients of second- and higher-order derivatives......Page 313.3.3 Discretization of governing equation......Page 324.2 Recent developments......Page 354.3 Computational algorithms......Page 365.2 Numerical procedure of Laplace transform......Page 395.2.1 C-C FG beam......Page 405.2.3 C-F FG beam......Page 415.2.4 S-S FG beam......Page 425.3 Concluding remarks......Page 436.2 Numerical modeling......Page 446.3 Convergence and comparison studies......Page 49 Effect of power-law exponents......Page 52 Effect of ratio of Young's moduli of the constituents......Page 556.5 Concluding remarks......Page 627.1 Numerical modeling......Page 637.2 Convergence and comparison studies......Page 657.3 Results and discussion......Page 727.4 Concluding remarks......Page 918.1 Functionally graded triangular plate......Page 938.2 Numerical modeling......Page 948.3.1 Effect of power-law index......Page 978.3.2 Effect of ratio of Young's moduli......Page 998.4 Concluding remarks......Page 1559.2 Convergence and validation studies......Page 1569.3 Numerical results......Page 1699.4 Concluding remarks......Page 18210.1 Numerical modeling......Page 18610.2 Convergence and comparison studies......Page 19810.3 Results with previously proposed SDPTs......Page 19910.4 Results with newly proposed SDPTs......Page 22010.5 Concluding remarks......Page 24111.2 Numerical modeling......Page 24211.3 Convergence and validation studies......Page 24511.4 Numerical results......Page 24611.4.1 Effect of power-law index (k)......Page 24711.4.4 Effect of ratio of mass densities (ρr)......Page 25411.5 Concluding remarks......Page 26812.1 FG annular plate......Page 27112.2 Numerical modeling......Page 27212.3 Numerical results......Page 27412.4 Concluding remarks......Page 28313.1 Functionally graded elliptic plates......Page 28413.3.1 Effect of aspect ratio and power-law index......Page 28713.3.2 Effect of elastic foundation moduli......Page 29513.4 Functionally graded skew plates......Page 30213.4.1 Numerical results......Page 30413.5 Concluding remarks......Page 306Bibliography......Page 309Index......Page 321Back Cover......Page 327