- Thermodynamically consistent formulations of thermomechanical models of solids and structures
- Portillo, D.; Garcia Orden, J. C.; Romero, I.; (2017). Energy-entropy-momentum integration schemes for general discrete non-smooth dissipative problems in thermomechanics. International Journal For Numerical Methods In Engineering, 112(7), 776-802. DOI: 10.1002/nme.5532
- Conde Martin, Sergio; Garcia Orden, Juan C.; (2017). On Energy-Entropy-Momentum integration methods for discrete thermo-visco-elastodynamics. Computers & Structures, 181(), 3-20. DOI: 10.1016/j.compstruc.2016.05.010
- Conde Martin, S.; Garcia Orden, J. C.; (2016). An energy-consistent integration scheme for flexible multibody systems with dissipation. Proceedings Of The Institution Of Mechanical Engineers Part K-Journal Of Multi-Body Dynamics, 230(3), 268-280. DOI: 10.1177/1464419315615068


- Sensitivity analysis of flexible mechanisms
- García Orden, JC; Arribas Montejo, JJ; López Varela, A. (2025) Practical computation of initial sensitivities in dynamics of flexible multibody systems. Submitted


- Special finite element formulations
- García Orden JC (2021). A conserving formulation of a simple shear- and torsion-free beam for multibody applications. Multibody System Dynamics, 51(1), 21-43. DOI: 10.1007/s11044-020-09754-w
- Garcia Orden, Juan Carlos; Cuenca Queipo, Javier; (2017). A Simple Shear and Torsion-Free Beam Model for Multibody Dynamics. Journal Of Computational And Nonlinear Dynamics, 12(5), -. DOI: 10.1115/1.4036116


- Special formulations of bilateral constraints in mechanisms
- Garcia Orden, Juan C.; (2019). Energy and symmetry-preserving formulation of nonlinear constraints and potential forces in multibody dynamics. Nonlinear Dynamics, 95(1), 823-837. DOI: 10.1007/s11071-018-4598-y
- Garcia Orden, Juan C.; Conde Martin, Sergio; (2012). Controllable velocity projection for constraint stabilization in multibody dynamics. Nonlinear Dynamics, 68(1-2), 245-257. DOI: 10.1007/s11071-011-0224-y
- Garcia Orden, Juan C.; (2010). Energy considerations for the stabilization of constrained mechanical systems with velocity projection. Nonlinear Dynamics, 60(1-2), 49-62. DOI: 10.1007/s11071-009-9579-8
- Garcia Orden, Juan C.; Ortega, Roberto A.; (2006). A conservative augmented Lagrangian algorithm for the dynamics of constrained mechanical systems. Mechanics Based Design Of Structures And Machines, 34(4), 449-468. DOI: 10.1080/15397730601044911


- Contact/impact in mechanisms
- Ortega, Roberto; Garcia Orden, Juan Carlos; Cruchaga, Marcela; Garcia, Claudio; (2017). Energy-consistent simulation of frictional contact in rigid multibody systems using implicit surfaces and penalty method. Multibody System Dynamics, 41(3), 275-295. DOI: 10.1007/s11044-017-9565-8
- Orden, JCG; (2005). Analysis of joint clearances in multibody systems. Multibody System Dynamics, 13(4), 401-420. DOI: 10.1007/s11044-005-3989-2


- Meshless numerical methods at large deformations
- Iglesias Ibanez, Daniel; Garcia Orden, Juan C (2011). Galerkin meshfree methods applied to the nonlinear dynamics of flexible multibody systems. Multibody System Dynamics, 25(2), 203-224. DOI: 10.1007/s11044-010-9224-9

- Numerical methods based on modal superposition and their application to fluid-structure interaction
- Mesoscopic formulations of computational fluid dynamics
- Local and non-local damage models for fracture simulation