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The strengthened beams have very large stiffnesses in the direction of the minimum principal strain.
The apparent maximum shear strain rate is defined as (ε 1 − ε 3)/2, where ε 1 and ε 3 are the maximum and minimum principal strain rates obtained from the estimated strain rate tensor, respectively.
The rate is calculated from the data shown in Fig. 3 and is defined as (ε 1 − ε 3)/2, where ε 1 and ε 3 are maximum and minimum principal strain rates, respectively.
Regarding the fundamental results, the analyses show that the pre-failure disintegration of strong contacts whose directions are aligned between the minimum principal strain and zero-extension line directions within the localized areas plays a fundamental role in the development of shear bands at micro scale.
Linear elasticity, combined with a minimum principal strain criterion to predict an increased risk of failure by cut-out, is an adequate computational model to support our results within the scope of this study.
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The right front hoof of each horse was strain-gauged in order to measure in vivo minimum principal strains in the hoof wall during a trot for validation purposes.
This research is an investigation of finite element (FE) minimum principal strains in a model of an equine hoof wall, to test the ability of a sophisticated model to recreate the mechanical behaviour of individual hooves in vivo, and therefore, to improve our understanding of normal hoof function.
Outcomes such as stiffening and delayed stress relaxation of the agarose gels, increased metabolic activity and gene expression of extracellular matrix proteins are related with maximum fluid velocities of 2-15 μm.s-1, maximum shear stresses of 0.02-0.18 Pa, maximum and minimum principal strains of 0.0125-0.055 and 0.0275-0.105 respectively.
For this purpose, contour plots showing minimum principal strains in a cross-section through the femoral head and neck are shown in Figure 2. We took -0.9% as the cut-off value (yield strain) below which trabecular bone is susceptible to yielding (undergo irreversible deformations) in agreement with experimental results on trabecular bone.
The general trends that can be observed on the contour plots were confirmed by quantifying the volume of bone susceptible to yielding, i.e. volume of the region (in the femoral head) featuring minimum principal strains more compressive than a yield strain of -0.9% (Fig. 3).
Areas featuring smaller minimum principal strains, i.e more compressive, than this threshold value were assigned a grey colour to emphasise the volume of bone susceptible to yielding and as a consequence likely to be involved in failure of the osteosynthesis.
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