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In this paper, we consider the problem of computing a minimum bending energy path (or MinBEP) in a simple corridor.
The discretised surface can approximate a physical surface through relaxation for minimum bending energy, however such methods are cumbersome and their accuracy is largely unknown.
Partial warps estimate the minimum bending energy needed to deform an infinitely thin metal plate (i.e. the landmark configuration of an individual fish) to adopt the shape of another landmark configuration (i.e. the consensus configuration among all the fish) while being constrained at particular points (i.e the landmarks).
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The optimization problem is formulated with the objective of minimum weighted total bending energy.
The physical meaning of the mentioned maximum is the one of a minimum of the percentage bending energy of the total strain energy.
The physical meaning of a maximum of the determinant of the tangent stiffness matrix in the prebuckling regime is the one of a minimum of the percentage bending energy of the total strain energy.
3. The physical meaning of a maximum of the determinant of the tangent stiffness matrix in the prebuckling regime is the one of a minimum of the percentage bending energy of the total strain energy.
Meanwhile, the diffusion coefficients Dpolymer of semiflexible ring polymers decrease monotonously with increasing bending energy Kb, while the minimum diffusion coefficient for semiflexible linear polymers occurs at the moderate bending energy such as Kb = 6, in which the semiflexible linear polymers hold the maximum entanglement density.
For l A ≫ lknot(A) the size of the knot will be dominated by the interplay of bending energy and tension and Δ Fknotting will increase with A. We therefore expect a minimum of Δ Fknotting(A) at a value of A determined by l A ≈ lknot(A).
Increasing the bending energy (through folding) could increase the energy such that a transition may occur.
The total energy stored in a pair of meshing gears was the sum of Hertzian energy, bending energy, shear energy and axial compressive energy corresponding to Hertzian stiffness, bending stiffness, shear stiffness and axial compressive stiffness, respectively.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com