I am modeling ligament structures in the knee joint finite element model
with non-linear springs and I am successfully getting non-linear
displacement curve.
The Solution of a Differential Equation or a Set of Differential Equations Converges vers the Exact if it is Consistant and it is Stable : Lax's Theorem. Since the Exact is not always known it is convenient to apply this Theorem. Numerical instabilities are a result of Roundoff errors and Truncation errors. The Domain of Stability can be obtained from a Von Newman analysis in the Complex domain. This implies a condition (relation) between the variation steps.
I am interested in doing multiscale modeling of nano-composites but don't know much about the field.
Can someone help me from where to begin and what text to refer.
Wave-like shape of a snake under parallel lateral constraints on a horizontal plane. The length of the snakes is 61+4 cm; the radius of the snake is 1 cm; the width between constraints is respectively 2, 3, 4, 5, 6 cm from (a–e).
In this contribution (see http://arxiv.org/abs/1306.4385), we derive lower and upper bounds for Wachspress coordinates over any simple d-dimensional simple convex polytope. Numerical results for the Poisson equation on nontrivial polyhedral meshes are presented that affirm the linear rate of convergence in the energy seminorm of the polyhedral finite element method. Matlab code to compute the Wachspress shape functions and its gradient on convex polygonal and polyhedral elements is also provided.
I am trying to model pullout behaviour in abaqus. i generated my 3d model with the help of texgen and i am applying velocity b.c.s to simulate pullout. I am expecting that NFORC beneath the point of applying velocity will give the pullout load. am i correct?. If not, wat will fetch my query?
if my sum up the reactions at the boundary i may not get the pullout load becoz of the frictional force between the fabric interface.
I am learning the polycrystalline crystal plasticity and testing material in ABAQUS and UMAT. Now I am trying to build a RVE by using the truncated octahedrons as the grain shape or Voronoi tessellations.
For truncated octahedrons, I built a truncated octahedrons and assembled them into the grain aggregate in the .inp file, and assign orientations in the UMAT based on the part's name. However, I found it hard to define their interaction between grains. What is their interaction properties and how to define the contact pair in an automatic way?
The paper presents a thermodynamically consistent modeling of the non-linear multiphysics of ionic polymer gels based on the multiplicative decomposition of the deformation gradient. In particular, the deformations induced by the motion of ions under an applied voltage are viewed as distortions, similarly to growth-induced deformations in soft tissues. Furthermore, a consistent linearization of the model in the regime of small deformations is discussed. Finally, a finite element implementation of the theory is introduced and validated against experimental results.
The new impact factor of Acta Mechanica Solida Sinica (AMSS) is 1.330, as revealed in the 2012 Journal Citation Reports published by Thomson Reuters. This is the third consecutive increase in Impact Factor of the journal.
This monograph gives a complete overview on the subject of nonconservative stability from the modern point of view. Relevant mathematical concepts are presented, as well as rigorous stability results and numerous classical and contemporary examples from mechanics and physics.
In this paper the authors introduce a hierarchic fractal model
to describe bone hereditariness. Indeed, experimental data of stress
relaxation or creep functions obtained by compressive/tensile tests have
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