The series of three papers is concerned with macroscopic modelling of elastic perfectly locking materials with a microstructure. In Part I basic relations were formulated for such a body with an eY-periodic microstructure. Both displacement and stress approaches were discussed. The role of relaxation of the traction boundary condition was revealed. The locking limit analysis problem was also formulated.
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The formulae for the homogenized (macroscopic) potential were given in the case of elastic-locking solids with various periodic microstructures. The microstructures cover deformable and rigid inclusions, voids and fissures. Multi-level microstructure was studied by using the reiterated homogenization.
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