In all textbooks, when iteration methods are introduced, the iterative formula is always H(x)x+f=0, where f is the external force applied on the system. All methods are stated when f is fixed.
Recently, I find that definitions of secant stiffness and tangent stiffness in many books seem pretty confused.Therefore, here I am giving the definitions I think correct, then give my questions on them.
Consider the equation
H(x)x+f=0
(1) Definition of tangent stiffness. As for the above equation, what is the tangent stiffness for some particular value x0?
Let's give the definition according basic knowledge of advanced mathematics. Let's consider the curve H(x)x~x. For this curve, y=H(x)x, so the tangent at x0 is
TEM Postdoc Position Available at Sandia National Lab.
I have an open position for a Post-doctoral researcher in the area of biomimetics and novel ceramic composite armor designs, starting immediately.
Project in partnership with industry, and in collaboration with shock physics and material synthesis experts
Faculty Opportunity in Thermal Sciences/Energy Technology, Department of Mechanical Engineering and Materials Science, Pratt School of Engineering, Duke University
I am working with shape memory alloys (nitinol), and am in that respect investigating fracture behaviour of NiTi, using, among other things, simulations in ABAQUS. ABAQUS doesn't have a material model that include plasticity unless you pay for it. I am wondering if anyone have implemented either of the following models as a UMAT, and if you are willing to share the code with me.
The models I am interested in are:
Power loss and electromagnetic energy density in a dispersive metamaterial medium
Having glanced at the web site I can see that it might be useful to shed some light on fatigue crack growth and crack closure based concepts.
