Skip to main content

research

On geometric discretization of elasticity

Submitted by arash_yavari on

This paper presents a geometric discretization of elasticity when

the ambient space is Euclidean. This theory is built on ideas from

algebraic topology, exterior calculus and the recent developments

of discrete exterior calculus. We first review some geometric

ideas in continuum mechanics and show how constitutive equations

of linearized elasticity, similar to those of electromagnetism,

can be written in terms of a material Hodge star operator. In the

discrete theory presented in this paper, instead of referring to

Non Local Model Vs Implicit Gradient Model

Submitted by Kapil.Nandwana on

Hi All :

 

I was wondering why some people prefer to use Non Local Model while some others use Implicit Gradient Model (which can be derived from Non Local Model) .

When implicit Gradient Model is itself derived from Non Local Model ,and its FE implimentation just involves an additional average to be calculated and what is the need to introduce gradient terms ??

 

Thanks Alot

 

Kapil 

Lemaitre damage material model

Submitted by TungPhan on

The Lemaitre damage material model was developed by Lemaitre for an isotropic linear elastic virgin material with stress-strain law as follows

 \begin{equation}

 \label{eq:22}

 \sigma_{ij}=(1-D)C_{ijkl}\epsilon_{kl} \quad D\in[0,1]

 \end{equation}

 where $D$ represents the extent of damage with the damage evolution law

\begin{equation}

\label{eq:23}

D(\bar{\epsilon})=1-(1-A)\epsilon_{D_{0}}\bar{\epsilon}^{-1}-Ae^{-B(\bar{\epsilon}-\epsilon_{D_{0}})}

\end{equation}

Influence of Interfacial Delamination on Channel Cracking of Brittle Thin Films

Submitted by Rui Huang on


H. Mei, Y. Pang, and R. Huang, International Journal of Fracture 148, 331-342 (2007).

Following a previous effort published in MRS Proceedings, we wrote a journal article of the same title, with more numerical results. While the main conclusions stay the same, a few subtle points are noted in this paper.

Viscoelastic Standard Linear Solid in ABAQUS

Submitted by natoli on

I'm trying to implement the standard linear solid (Maxwell form) in ABAQUS. I can't find anything on how the 3 constants of the SLS model get input into ABAQUS in terms of the g_i's, k_i's, and tau_i's ABAQUS uses. For example, in a relaxation test, the modulus is given by Y(t) = C_1 + C_2*exp(-C_2*t/C_3), where the C_i's are the constants. I don't know if the standard linear solid makes any assumptions about deviatoric vs dilatational behavior. Does anyone know how to do this? -Thanks, Roman