#### High-Level View: computational design of foldable structures

#### Updates

During the past week, I have been working on finidng numerical solutions for plate failures under different boundary conditions and loading conditions.

##### For a plate, there are three types of boundary conditions:

(1) simply supported

(2) clamped

(3) free

##### There are three types of forces that can be applied to a plate:

(1) In-plane compression/tension

(2) Out-of-plane bending

(3) Shearing

Note: Let's forcus on in-plane compression load and out-of-plane bending load for now, since these two are most commonly seen in foldable structures.

##### There are three types of failure (due to the above two types of load):

(1) Buckling: caused by in-plane compression load

(2) Bending yield: caused by out-of-plane load

(3) Overly deflect: caused by out-of-plane load

##### Assumptions for Numerical Solutions for Thin Plate:

(1) The plate is flat, of uniform thickness, and of homogeneous isotropic material;

(2) The thickness is not more than about one-quarter of the least transverse dimension, and the maximum deflection is not more than about one-half the thickness; (For larger deformation, it will be membrane problem, instead of plate problem)

(3) All forces—loads and reactions—are normal to the plane of the plate;

(4) The plate is nowhere stressed beyond the elastic limit.

(5) Poisson's ratio v ~= 0.3.