Stress flow matrices introduces a mathematical model for understanding variation of stress in multiple modes of freedom exerted on an element. Stress flow matrices with a continual stress element factors determine whether the stress increase is linear by nature or non-linear,increasing to crtical factor increase on an element. We denote a change in stress signs as zones of stress flows and a negative stress response means that the material reaches criticality easily and a positive stress response to a material achiving material default. Sliding stress relates to stress distribution by derivative elements of a matrix. The other case involves neutral stress response, in which a material will have either positive or negative stress responses.
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