LE8nodeBrick
Purpose
isoparametric 8 node brick element with linear elastic material
Synopsis
ElemResp = LE8nodeBrick (action,el_no,xyz,ElemData,ElemState)
Description
LE8NODEBRICK isoparametric 8 node brick element with linear elastic material ELEMRESP = LE8NODEBRICK (ACTION,EL_NO,XYZ,ELEMDATA,ELEMSTATE) response of isoparametric eight node brick element with linear elastic material ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ When the character variable ACTION has one of the following values, the function performs the listed operations and returns the results in ELEMRESP: ACTION = 'size': report size of element arrays 'chec': check element property data for omissions and assign default values 'init': initialize element history variables 'forc': report element resisting forces 'stif': report element stiffness matrix and resisting forces 'mass': report lumped mass vector and consistent mass matrix 'post': report post-processing information 'stre': integration point stress projection to nodes ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ The data structure ELEMRESP stands for the following data object(s) for each ACTION: ELEMRESP = ARSZ for action = 'size' ELEMRESP = ELEMDATA for action = 'chec' ELEMRESP = ELEMSTATE for action = 'init' ELEMRESP = ELEMSTATE for action = 'stif' ELEMRESP = ELEMSTATE for action = 'forc' ELEMRESP = ELEMMASS for action = 'mass' ELEMRESP = ELEMPOST for action = 'post' ELEMRESP = STRSREC for action = 'stre' ELEMRESP is empty for unsupported keywords ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ARSZ is an Boolean array of size NDF x NEN, where NDF = number of DOFs/node, NEN = number of nodes, with unit values corresponding to the active element DOFs ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ELEMDATA is a data structure with element property information in fields b = element body forces (default b=[0;0;0] ) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ELEMSTATE is a data structure with the current element state; it has the fields u = vector of total element displacements in global reference Du = vector of element displacement increments from last convergence DDu = vector of element displacement increments from last iteration ke = element stiffness matrix in global reference; updated under ACTION = 'stif' p = element resisting force vector in global reference; updated under ACTION = 'stif' or 'forc' Past = element history variables at last converged state Pres = current element history variables lamda = row vector of current load factor(s) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ ELEMPOST is a data structure with element response information for post-processing in fields Mat{1}.xyz = coordinates of integration point Mat{1}.eps = strain tensor at integration point Mat{1}.sig = stress tensor at integration point
Cross-Reference Information
This function calls:
- shape3d shape functions for 8 node solid (brick) element