Редактирование: V-model
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Let us summarize advantages of V-model: | Let us summarize advantages of V-model: | ||
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* applicable in the case of large turns of the particles | * applicable in the case of large turns of the particles | ||
* conservation of energy (bonds are perfectly elastic) | * conservation of energy (bonds are perfectly elastic) | ||
− | * any non close packed structure, rods and shells can be | + | * the bond has longitudinal, shear, bending and torsional stiffnesses that can be set independently |
− | * forces and | + | * any non close packed structure, rods and shells can be modeled (see figures above) |
+ | * forces and moments are calculated as a functions of particles' positions and orientations | ||
+ | : (more accurate integration of motion equations than in the case of incremental algorithm used for BPM) | ||
* description of bonds of any length/thickness ratio. It is shown that in the case of small deformations the behavior of the bond can fit the behavior of Bernulli-Euler rod or Timosheko rod or short cylinder connecting particles (depending on length/thickness ratio) | * description of bonds of any length/thickness ratio. It is shown that in the case of small deformations the behavior of the bond can fit the behavior of Bernulli-Euler rod or Timosheko rod or short cylinder connecting particles (depending on length/thickness ratio) | ||
* simple analytical expressions connecting parameters of V-model with geometrical and mechanical characteristics of the bond | * simple analytical expressions connecting parameters of V-model with geometrical and mechanical characteristics of the bond | ||
* bonds can connect points inside the particles or lying on particles surfaces (not only particle centers) | * bonds can connect points inside the particles or lying on particles surfaces (not only particle centers) | ||
− | * fracture criterion | + | * the model can be easily generalized in order to describe nonlinear elastic behavior of the bond |
+ | * fracture criterion used in BPM can be used in couple with V-model | ||
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== Java Script example == | == Java Script example == |