References
- Chen, G., Liu, Y. (2006). Numerical Theories and Engineering Methods for Structural Limit and Shakedown Analyses. Beijing: Science Press.
- Chen, S., Liu, Y., Cen, Z. (2008a). A combined approach of the MLPG method and nonlinear programming for lower-bound limit analysis. CMES: Computer Modeling in Engineering & Sciences 28(1):39–55.
- Chen, S., Liu, Y., Cen, Z. (2008b). Lower bound limit analysis by using the EFG method and non-linear programming. International Journal for Numerical Methods in Engineering 74(3):391–415. doi:10.1002/nme.2177.
- Chen, S., Liu, Y., Cen, Z. (2008c). Lower bound shakedown analysis by using the element free Galerkin method and non-linear programming. Computer Methods in Applied Mechanics and Engineering 197(45):3911–3921. doi:10.1016/j.cma.2008.03.009.
- Chen, S., Liu, Y., Li, J., Cen, Z. (2011). Performance of the MLPG method for static shakedown analysis for bounded kinematic hardening structures. European Journal of Mechanics-A/Solids 30(2):183–194. doi:10.1016/j.euromechsol.2010.10.005
- François, A., Abdelkader, H., Said, M. Tao (2007). Application of lower bound direct method to engineering structures. Journal of Global Optimization 37(4):609–630. doi:10.1007/s10898-006-9069-1
- Groß-Weege, J. (1997). On the numerical assessment of the safety factor of elastic-plastic structures under variable loading. International Journal of Mechanical Sciences 39(4):417–433. doi:10.1016/s0020-7403(96)00039-2
- Heitzer, M. (2002). Structural optimization with FEM-based shakedown analyses. Journal of Global Optimization 24(3):371–384.
- Heitzer, M., Pop, G., Staat, M. (2000). Basis reduction for the shakedown problem for bounded kinematic hardening material. Journal of Global Optimization 17(1–4):185–200.
- Liu, Y., Zhang, X., Cen, Z. (2005). Lower bound shakedown analysis by the symmetric Galerkin boundary element method. International Journal of Plasticity 21(1):21–42. doi:10.1016/j.ijplas.2004.01.003
- Lu, H., Zhang, Y. (2011). Reliability-based robust design for structural system with multiple failure modes. Mechanics Based Design of Structures and Machines 39(4):420–440. doi:10.1080/15397734.2011.560541
- Nami, M. R., Eskandari, H. (2012). Three-dimensional investigations of stress-intensity factors in a cracked cylinder made of functionally graded materials. Mechanics Based Design of Structures and Machines 40(2):206–217. doi:10.1080/15397734.2012.654755
- Nguyen-Xuan, H., Rabczuk, T., Nguyen-Thoi, T., Tran, T., Nguyen-Thanh, N. (2012). Computation of limit and shakedown loads using a node-based smoothed finite element method. International Journal for Numerical Methods in Engineering 90(3):287–310. doi:10.1002/nme.3317
- Rezaiee-Pajand, M., Vejdani-Noghreiyan, H., Naghavi, A. (2013). Four new methods for finding structural critical points. Mechanics Based Design of Structures and Machines 41(4):399–420. doi:10.1080/15397734.2012.746917
- Simon, J. W. (2013). Direct evaluation of the limit states of engineering structures exhibiting limited, nonlinear kinematical hardening. International Journal of Plasticity 42:141–167. doi:10.1016/j.ijplas.2012.10.008
- Simon, J. W., Weichert, D. (2012). Shakedown analysis of engineering structures with limited kinematical hardening. International Journal of Solids and Structures 49(15):2177–2186. doi:10.1016/j.ijsolstr.2012.04.039
- Staat, M. (2014). Limit and shakedown analysis under uncertainty. International Journal of Computational Methods 11(3):1343008.
- Staat, M., Heitzer, M. (1997). Limit and shakedown analysis for plastic safety of complex structures. Transactions of SmiRT14: B02/2.
- Staat, M., Heitzer, M. (2008). Numerical methods for limit and shakedown analysis. Deterministic and probabilistic problems. Publication series of the John von Neumann Institute for Computing, (NIC), 15.
- Stein, E., G. Zhang, König (1992). Shakedown with nonlinear strain-hardening including structural computation using finite element method. International Journal of Plasticity 8(1):1–31. doi:10.1016/0749-6419(92)90036-c
- Wang, X., Chang, L. (1986). Exact integration of constitutive equations of kinematic hardening material and its extended application. Acta Mechanica Sinica 18(3):226–234.
- Weichert, D., Gross-Weege, J. (1988). The numerical assessment of elastic-plastic sheets under variable mechanical and thermal loads using a simplified two-surface yield condition. International Journal of Mechanical Sciences 30(10): 757–767. doi:10.1016/0020-7403(88)90040-9