Human skeletal muscle is a living tissue with multi-scale architecture and complex mechanical function. The understanding of mechanical behaviors of the human skeletal muscle plays important role in the diagnosis and treatment evaluation of musculoskeletal diseases. The objective of this present study was to simulate a magnetic resonance elastography experiment. MRI images were used to develop a subject specific finite element model of the thigh of a healthy subject. Skeletal muscle was modeled using a linear viscoelastic law and its implementation was performed using Abaqus UMAT. Other tissues such as skin, adipose and bone tissues were also accounted into the model. A transient modal dynamics analysis was applied. Simulation results were presented and discussed. Our findings could be of great value to assist the experimenters in the set-up of MRE protocols.