High Luminosity Large Hadron Collider (HL-LHC) is a project aiming to broaden the LHC discovery potential by increasing the luminosity by a factor of ten beyond the design value. Development of the superconducting rf crab cavities for maximizing and levelling the luminosity is one of the major activities under the proposed upgrade. Due to the narrow bandwidth, the operating voltage and phase are sensitive to Lorentz force and various external loads, so if not studied and controlled, the resulting detuning can lead to performance degradation of the crabbing scheme. The parallel ACE3P simulation suite has recently enabled realistic multiphysics characterization of such complex accelerator systems on supercomputers. Using ACE3P, we perform a 3D analysis of the electromechanical effects in the dressed rf dipole crab cavity, including the two-cavity chain, in order to assess the operational reliability of the cryomodule. The simulation results are compared with available measurements and their implications are discussed. Show Partial Abstract