New Trinitas in a Nutshell

7/28/2019 New Trinitas in a Nutshell

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TRINITASa Graphical Environment for

Conceptual Design, Optimization andFinite Element Analysis


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4/4/2013 TRINITAS Research & Developement 2

Major Objectives

to obtain

an overall speed-up of the

entire engineering-cycleto increase

controlto reduce

sources for errors


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Scope

Geometry, Domain property and Boundary

condition modeling

Mesh generation

Analysis

Evaluation

Optimization


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Geometry modeling

Points

Lines

Straight Line

Parabola

Cubic Bezier

Circular Arc

Surfaces

3-, 4- and N - edged

general 3-D faces

Volumes

2D, 3D and Axi-

symmetric volumes as

4 -, 5 -, 6 - or N -

faced regions


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Boundary Conditions

Essential Boundary Conditions

Fixed and Prescribed Displacement or

Temperatures

Natural Boundary Conditions

General volume, surface, line and point loads

Pressures

Contact Interfaces in 2D and 3D


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Boundary Conditions

(continued) All boundary conditions can be made

dependent of both space, time andtemperature

Defined as symbolic functions

Or byUser-subroutines


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Element library

Bar and Beam elements in 2D and 3D

2D, Axi-sym. and 3D Solid elements from 3 to 27

nodes Mindlin-Reissner 3D 3- to 9-node Shell elements

Full or selective Gauss integration technique

Iso- or Orthotropic material behavior


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Mesh Generation

Mapped and free meshed sub-domains

Advancing Front Technique capable of

adaptive analysis (only 2D)

A fast topology basedbandwidth

minization algorithm


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Constraints between:(master and slave)

Beam to Shells

Beam to Solids

Shell to Shells

Shell to Solids

Solid to Solids

Rigid Links

Solid to Bar

Solid to Beam

Solid to Shell

Shell to Beam

Shell to Bar

Groups of nodes


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Analysis Overview

Linear static heat

transfer analysis

Linear buckling

analysis

Linear static elasticity

analysis including

optimization

Dynamic eigenvalue

analysis

Transient heat transfer

analysis

Transient linear

elasticity analysis


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Linear static elasticity

analysis Adaptivity(only 2D currently)

Contact Mechanics

Fracture Mechanics

Quasi-static Load Sequences

Topology, Shape & Size Optimization

MPI Conjugate gradient solver on the element

level is available


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Adaptivity (2D)

H-refinement technique

Local Super-convergent Patch Recovery

Technique

3- or 6-node plane or axi-symmetric

triangular elements are available

A User-chosen relative energy error

tolerance level have to be defined


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Contact Mechanics

Automatic contact interface generation along

shared lines and surfaces in the geometry

a Gap function defines overlap or clearance as

function of space and time

Node to Node contact without friction

Lagrangian solution or direct transformation

technique


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Fracture Mechanics

Virtual crack extension technique

Automatic crack growth direction calculation

(currently only in 2D)

Automatic integration of Paris law

(currently only in 2D)

Crack Closure

Semi-manual 3D crack growth analysis can been

carried out


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Topology Optimization

for Bar, Beam, Shell and 2D, Axi-sym.

and 3D Solids

Optimality criteria method

Filtering techniques MPI-implementation under testing


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Shape Optimization

Min Weight, Max Stiffness or MinMax stress

C1-continuity in-between Bezier splines

Analytical Brookeman derivatives

Moving Asymptotes (MMA) is utilized for

solving non-linear optimization problems in

the design variables


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Linear static heat

transfer analysis Fixed flux

Fixed temperature

Convective boundaries


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Dynamic eigenvalue

analysis Sub-space iterations*

Generalized Jacobi-method for the sub-problem

Lumped or consistent mass

Stress stiffening or not

Automatic shifting of the eigenvalues

*(See ThomasJ.R. Hughes The Finite Element Method)


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Linear transient heat

transfer analysis

Generalized Trapezoidal rule*

Backward or forward Euler

Unconditionally or conditionally stable

Automatic time step control



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Linear transient

elasticity analysis

Generalized Newmark algorithm*

Implicit and explicit

Lumped or consistent mass

Rayleigh damping



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Linear Buckling analysis

Sub-space iterations

The Algorithm is shared by the Dynamiceigenvalue analysis


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Non-linear static stress

and strain analysis

Line search with automatic restart

A global non-linearized spherical arc-length

control

Automatic load increment control


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Evaluation

Dynamic visualization of single numeric

scalar- or vector node- or element values

General tools for scalar- and vector-field

visualization

2D-graph representations of functions bothin time or space. Dynamic or Static storage


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Evaluation (continued)

Arbitrary number of independent cameras

visualizing different result entities PostScript images of all camera views by a

single command

Animation


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Implementation Details

The code consists of 8.6 Mb source code files with 4612

subroutines and 1252 functions written in FORTRAN 90

Currently used development environment is Intel VisualFortran

The program runs under Windows, Linux and Beowulf

clusters under MPI

OpenGL is utilized for 3D rendering

Object-Oriented domain decomposition


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Data base Object Interface

Registers

Internal pointerMemory ~1 Gbyte

Registers

Virtual internal pointerLogical Disk Array Many Gbytes

Data Base File Memory Buffer

Data Base File Record Length

Number of Data Base File Records

Data Base File Record Length

Number of Data Base File Records

Back Buffer


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General Features

Finite element analysis in a What You See

Is What You Get fashion

No need for Node- or Element numbers in

any situation

Graphic control reduces the sources for

errors to a minimum

Errors is discovered as early as possible


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Current Major Bottlenecks

3D geometry modeling

NURBS surfaces

General 3D Boolean operations

An unstructured 3D mesh generator do

not exist

Documents

New Trinitas in a Nutshell