Dear all,
I am trying to formulate the return mapping algorithm with Hill48 yield condition, isotropic hardening law and flow rule referenced to Simo & Hughes (Computational Inelasticity).
In section 2.2.2.1, equation (2.2.9) expresses the Kuhn-Tucker complementarity conditions:
In addition to conditions (2.2.9), satisfies the consistency requirement:
Shape memory effect and pseudoelasticity behavior in tetragonal zirconia polycrystals: A phase field study, International Journal of Plasticity 60 (2014) 71–86. Martensitic tetragonal-to-monoclinic transformation in zirconia is a ‘‘double-edged sword’’, enabling transformation toughening or shape memory effects in favorable cases, but also cracks and phase degradation in undesirable scenarios.
In this study, we presented a numerically robust procedure to evaluate 4th order tangent moduli which are vital for acheiving quadratic convergence of global Newton-Raphson scheme.
In this study, the proposed method is verified for hyperelastic models alone. However, the same can be extended to other constitutive models.
The paper can be found at
Numerically approximated Cauchy integral (NACI) for implementation of constitutive models
10.1016/j.finel.2014.05.016
Dear all,
Now I face a noval problem, and I do not know how to deal with it, even cannot begin the first step.
As we know, the formulation of a classical mechanical question is given the initial condition and the constraint condition, and solve the unknown orbit. Now I face a inverse problem. I know the initial condition and the orbit, and would like to solve the unknown constraint condition.
Is there anyone could give some seggestion, I don't know how to do it. Thanks.
Best.
Hi
I'm facing problem while writing a script for a parametric study.
After changing the each parameter the model changes and and the loaction of the interested element changes based on those parameters.
Also the element number changes.
Is there any command in python script to choose the elements based on the location ?
Thank you in advance
Rajesh Kumar
The geometric formulation of continuum mechanics provides a powerful approach to understand and solve problems in anelasticity where an elastic deformation is combined with a non-elastic component arising from defects, thermal stresses, growth effects, or other effects leading to residual stresses. The central idea is to assume that the material manifold, prescribing the reference configuration for a body, has an intrinsic, non-Euclidean, geometric structure. Residual stresses then naturally arise when this configuration is mapped into Euclidean space.
On behalf
A fully funded Masters or Ph.D student position is available @ Monash University, Malaysia Campus. The project will be supervised by Dr.Ean Hin OOI (http://scholar.google.com.sg/citations?user=SAj61qwAAAAJ&hl=en ). Kindly email your enquiries to Ooi.Ean.Hin [at] monash.edu (Ooi[dot]Ean[dot]Hin[at]monash[dot]edu)
