A FEM-based direct method for identification of Young’s modulus and boundary conditions in three-dimensional linear elasticity from local observation

Identification of force loadings on the inner circumference of a finite‐length elastic cylinder

“…Marin and Johansson [19] introduced algorithms involving relaxation of boundary conditions in terms of either stresses or displacements on the over-specified boundary, which were further developed by Marin et al [20]. Recently, Xu et al [21] presented a FEMbased approach for solving 3D inverse problems on determining Young's modulus and unknown loading on a part of the surface of a linearly elastic solid. For hyperelastic materials, this approach was presented by Xu et al [22].…”

“…Recently, Xu et al. [21] presented a FEM‐based approach for solving 3D inverse problems on determining Young's modulus and unknown loading on a part of the surface of a linearly elastic solid. For hyperelastic materials, this approach was presented by Xu et al.…”