Finite bending of hyperelastic beams with transverse isotropy generated by longitudinal porosity

Brittle Bone Fracture Risk with Transverse Isotropy

Osteogenesis imperfecta (OI) is a heritable bone fragility disorder characterized by skeletal deformity and “brittle” bones. This fragility is believed to stem from a combination of bone mass deficiency and compromised bone material properties [1-3]. Poor bone quality poses major orthopaedic and rehabilitation challenges. Risk of fracture is a major consideration when prescribing activity restr...

Nonlinear Finite Element Analysis of Bending of Straight Beams Using hp-Spectral Approximations

Displacement finite element models of various beam theories have been developed using traditional finite element interpolations (i.e., Hermite cubic or equi-spaced Lagrange functions). Various finite element models of beams differ from each other in the choice of the interpolation functions used for the transverse deflection w, total rotation φ and/or shear strain γxz, or in the integral form u...

Bending of Beams with Unsymmetrical Sections

An Efficient Finite Element Formulation Based on Deformation Approach for Bending of Functionally Graded Beams

Finite element formulations based generally on classical beam theories such as Euler-Bernoulli or Timoshenko. Sometimes, these two formulations could be problematic expressed in terms of restrictions of Euler-Bernoulli beam theory, in case of thicker beams due to non-consideration of transverse shear; phenomenon that is known as shear locking characterized the Timoshenko beam theory, in case of...

Electrically switchable finite energy Airy beams generated by a liquid crystal cell with patterned electrode