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Compatibility conditions are mathematical conditions that determine whether a particular deformation will leave a body in a compatible state. [2] In the context of infinitesimal strain theory, these conditions are equivalent to stating that the displacements in a body can be obtained by integrating the strains.
In mechanics, strain is defined as relative deformation, compared to a reference position configuration. Different equivalent choices may be made for the expression of a strain field depending on whether it is defined with respect to the initial or the final configuration of the body and on whether the metric tensor or its dual is considered.
The concept of strain is used to evaluate how much a given displacement differs locally from a rigid body displacement. [1] [8] [9] One of such strains for large deformations is the Lagrangian finite strain tensor, also called the Green-Lagrangian strain tensor or Green–St-Venant strain tensor, defined as
In continuum mechanics, the infinitesimal strain theory is a mathematical approach to the description of the deformation of a solid body in which the displacements of the material particles are assumed to be much smaller (indeed, infinitesimally smaller) than any relevant dimension of the body; so that its geometry and the constitutive properties of the material (such as density and stiffness ...
Muscle Proprioception, Individual Muscle Fatigue, Intensity, Metabolism; These are some of the complex variables that come into the equation when assessing for potential 'supercompensation' measurements. Other influences are muscle strength and mass. For instance, muscle mass is influenced by the quantity of glycogen in the muscles, among others.
On the other hand, soft tissues (like skin, tendon, muscle, and cartilage) usually undergo large deformations, and thus, their analysis relies on the finite strain theory and computer simulations. The interest in continuum biomechanics is spurred by the need for realism in the development of medical simulation.
The muscle synergy theory is difficult to falsify. [20] Though experimentation has shown that groups of muscles indeed work together to control motor tasks, neural connections allow for individual muscles to be activated. Though individual muscle activation may contradict muscle synergy, it also obscures it.
Davis's law is used in anatomy and physiology to describe how soft tissue models along imposed demands. It is similar to Wolff's law, which applies to osseous tissue.It is a physiological principle stating that soft tissue heal according to the manner in which they are mechanically stressed.