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.
Lei and I will be working on developing the appropriate relations and numerical methods for topological optimization of 2D ideal structures. In this constraint-based optimization study we will try to determine the density distribution which minimizes the strain energy for a fixed volume of material. This problem is a subset of the so-called "G-closure" problem in topological optimization where we have restricted our possible configurations to certain ideal geometries.
Andrew and I decided to work on some design topics.
Given a reference domain, some boundary conditions and a limited amount of material, which can not fill the whole domain, we want to determine the material distribution inside the domain so that the structure generated will contain the minimum elastic energy. This is called minimum compliance problem, a topic in the field of topology optimization.
Nathan Thielen and I will be investigating straight beams, bent beams and how the analysis can be applied to hooks. We did not have much time to investigate beams in ES240 this term so we hope to gain a broader understanding of this area and share our findings with the rest of the class. The primary goal is to compare the analysis necessary for straight beams versus the analysis needed for bent beams. We choose the project because we also will have ample opportunity to investigate bent beams and hooks using FEM.
Hi everyone,
Christian and I thought comparing the theory of bent beams to that of straight beams would be interesting because we only explored straight beams this semester in class. Bent beams are important since they are encountered regularly in practice, for example a hook. The geometry of a bent beam changes the equations governing the behavior. So, understanding how the geometry changes the beams behavior is our primary interest.
Maria and I are doing our project on the contact of a sphere under force on a rigid surface. We will be studying the existing theoretical equations that model this effect, particularly the Hertz contact equations. We will then model this system on abaqus and illustrate that the theoretical results match the analytical results. The resulting deformation of the sphere when pressed onto the rigid surface will be the parameter of the most interest here.
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
Kathleen DiSanto and I are interested in finding out what the displacemnet distribution is for an elastic sphere contacting a ridgid surface. This Problem has many applications in sports such as golf and baseball, where the golf club and the baseball bat can be seen as ridgid materials compared to the elastic golf ball or baseball.
My project will be a literature study on ferroelasticity and how it applied to how of the topics we covered in class.
Eric Kiser
