The Hellinger–Reissner principle is a well-known two-field formulation in which displacements and stress components are typically treated as unknowns. Computing these stress components from strain measures obtained via an alternative carefully chosen kinematic law depending on newly introduced unknowns, rather than from the governing kinematic equations, leads to the mixed displacement (MD) formulation [1]. By relying on equal-order interpolation for all unknowns, the MD method is intrinsically locking-free, i.e., locking-free at a theoretical level. This property further enables accurate coarse-mesh predictions of both displacements and stress components, independent of the discretization method employed. For example, in [1], the authors demonstrated that the method alleviates transverse shear locking in shear-deformable beams and plates, as well as membrane locking in a shear-rigid Kirchhoff-Love shell formulation, within the frameworks of the classical finite element method (FEM), isogeometric analysis (IGA), and meshless methods. Subsequently, in [2], the method was extended to address in-plane shear locking in 2D solid elements, although other locking phenomena known in 2D solids (e.g., volumetric locking) remained significant. In this contribution, the MD method is extended to address volumetric locking in solid mechanics problems. This is achieved by cautiously choosing alternative dilatational and deviatoric components of the strain measure, instead of the total strain. The underlying idea is inspired by the Bbar method, where such a strain decomposition is used and individual components are independently modified to alleviate locking. Numerical examples in linear and finite-strain elasticity, using various discretization schemes such as FEM and IGA, are also presented to demonstrate the performance of the proposed method relative to existing element technologies. The primary focus is on extending and evaluating the MD method for problems in nearly-incompressible elasticity. REFERENCES [1] Bieber, S., Oesterle, B., Ramm, E., Bischoff, M., A variational method to avoid locking independent of the discretization scheme., Int J Numer Methods Eng, 114(8), 801–827, 2018. [2] Vinod Kumar Mitruka, T. K. M., Bischoff, M., The mixed displacement method to avoid shear locking in problems in elasticity, Proc Appl Math and Mech, 24(4), 2024.