A MULTI SCALE MODEL FOR STRESS DISTRIBUTION IN CELLULAR MEMBRANE- SECOND PART: STRUCTURED DEFORMATION THEORY IMPLEMENTATION

In a previous part, I introduce the structured deformations theory (S.D.) by Del Piero & Owen restricting the attention on rescaled mono-dimensional sub-set. I find a particular solution in agree to the classical fracture models besides a response function in according either stress and strain fields distribution in biological materials. In this part we remark some concepts on S.D. theory, up-grading previous part and emphasizing the theory kernel, to follow on the classic bio-membrane elastic behavior until their damage and fracture under mechanical point of view. The question in first time is developed by the classical approach to denote the difficulty on macro and micro scale relationship besides their reciprocal influence over the deformation field. Finally, I perform the S.D. implementation over a membrane model undergo to bending action, modelling in this way the ice actions, produced by freezing in cells preservation.