Intro by Jim Kennedy
![](https://www.dynaexamples.com/introduction/Introduction/example-01/@@download/teaser_image/example-01_teaser.png)
Thin Shell Plate
A simply supported plate of equal side length is subjected to a normal pressure on the top face. Differences between Belytschko-Tsai-Shell (elform 2), Hughes-Liu-Shell (elform 6) and fully integrated Shell (elform 16) can be studied. Example 1 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-02/@@download/teaser_image/example-02_teaser.png)
Thick Shell Plate
A simply supported plate of equal side length is subjected to a normal pressure on the top face. Differences between thick shell formulations (elform 2, 3 and 5) can be studied. Example 2 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-03/@@download/teaser_image/example-03_teaser.png)
Elliptical Thick Plate (coarse mesh)
An elliptical thick plate is subjected to a normal pressure on the top face. Differences between constant stress solid (elform 1), fully integrated S/R solid (elforms 2 and -1) and 8 point enhanced strain solid (elform 18) can be studied. Example 3 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-04/@@download/teaser_image/example-04_teaser.png)
Elliptical Thick Plate (fine mesh)
An elliptical thick plate is subjected to a normal pressure on the top face. Differences between constant stress solid (elform 1), fully integrated S/R solid (elforms 2 and -1) and 8 point enhanced strain solid (elform 18) can be studied. Example 4 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-05/@@download/teaser_image/example-05_teaser.png)
Snap-Back under Displacement Control
The implicit arc length method is used to solve the snap-back of the system. Differences between truss (elform 3) and discrete beam/cable (elform 6) can be studied. Example 5 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-06/@@download/teaser_image/example-06_teaser.png)
Straight Cantilever Beam
Analysis of a cantilever beam loaded at one end with a quasi-axial load. The material is elastic. Example 6 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-07/@@download/teaser_image/example-07_teaser.png)
Lee's Frame buckling Problem
A framed structure deforming under a load applied on one node. The frame is pinned to ground at two nodes. Arc-length method is used to capture the post-buckling behavior of the structure. Example 7 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-08/@@download/teaser_image/example-08_teaser.png)
Double Cross In-Plane Vibration
Behavior of beam elements in a modal analysis. The problem requires the extraction of numerically close eigenvalues. Differences between Hughes-Liu beam (elform 1), Belytschko-Schwer beam (elform 2) and linear Timoshenko beam (elform 13) can be studied. Example 8 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-09/@@download/teaser_image/example-09_teaser.png)
Thin Annular Plate (coarse mesh)
A simply supported annular plate is analyzed to determine the first natural frequencies. Example 9 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-10/@@download/teaser_image/example-10_teaser.png)
Thin Annular Plate (fine mesh)
A simply supported annular plate is analyzed to determine the first natural frequencies. Example 10 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-11/@@download/teaser_image/example-11_teaser.png)
Transient Response to Constant Force
A mass is attached in the middle of a beam. The beam is subjected to dynamic load. Example 11 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-12/@@download/teaser_image/example-12_teaser.png)
Square Plate Out-of-Plane Vibration (solid mesh)
Natural frequencies of a solid simply supported plate are determined. Differences between constant stress solid (elform 1), fully integrated S/R solid (elforms 2, -1 and -2) and fully integrated quadratic 8 node element with nodal rotations (elform 3) can be studied. Example 12 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-13/@@download/teaser_image/example-13_teaser.png)
Square Plate Out-of-Plane Vibration (thick shell mesh)
Natural frequencies of a solid simply supported plate are determined. Differences between S/R IPI thick shell (elform 2), assumed strain IPI thick shell (elform 3) and assumed strain RI thick shell (elform 5) can be studied. Example 13 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-14/@@download/teaser_image/example-14_teaser.png)
Square Plate Transient Forced Vibration (solid mesh)
Transient analysis is perfomed to obtain the response of a plate subjected to a suddenly applied pressure on its top. Differences between constant stress solid (elform 1), fully integrated S/R solid (elforms 2, -1 and -2) and fully integrated quadratic 8 node element with nodal rotations (elform 3) can be studied. Example 14 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-15/@@download/teaser_image/example-15_teaser.png)
Square Plate Transient Forced Vibration (thick shell mesh)
Transient analysis is perfomed to obtain the response of a plate subjected to a suddenly applied pressure on its top. Differences between S/R IPI thick shell (elform 2), assumed strain IPI thick shell (elform 3) and assumed strain RI thick shell (elform 5) can be studied. Example 15 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-16/@@download/teaser_image/example-16_teaser.png)
Transient Response of Cylindrical Disk
A cylindrical disk hits a deformable surface. Suitable contact algorithm is chosen. Example 16 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-17/@@download/teaser_image/example-17_teaser.png)
Linear Spring-Mass-System
A mass is attached to a linear spring. Period of vibration is determined. Example 17 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-18/@@download/teaser_image/example-18_teaser.png)
Nonlinear Spring-Mass-System
A mass is attached to a nonlinear spring. Period of vibration is determined. Example 18 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-19/@@download/teaser_image/example-19_teaser.png)
Thin Walled Cylinder Buckling
A cylinder is loaded with a uniformly distributed line load along the top edge. Critical buckling load is determined. Different meshes and differences between Belytschko-Tsay shell (elform 2), S/R Hughes-Liu shell (elform 6), Belytschko-Wong-Chiang shell (elform 10) and fully integrated shell (elform 16) can be studied.
![](https://www.dynaexamples.com/introduction/Introduction/example-20/@@download/teaser_image/example-20_teaser.png)
Membrane with Hot Spot
Analysis of the behavior of shell elements subjected to thermal load. Example 20 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-21/@@download/teaser_image/example-21_teaser.png)
1D Heat Transfer (Radiation)
A bar radiates to an ambient temperature at one end and to a constant temperature at the other end. Example 21 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-22/@@download/teaser_image/example-22_teaser.png)
1D Heat Transfer (Bar)
A bar is subjected at one end to a varying temperature and at the other end to a constant temperature. Example 22 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-23/@@download/teaser_image/example-23_teaser.png)
2D Heat Transfer (Convection)
A slab is subjected to thermal loads for a steady state simulation. Example 23 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-24/@@download/teaser_image/example-24_teaser.png)
3D Thermal Load
A solid cylinder is subjected to a prescribed temperature gradient. Different meshes can be studied. Example 24 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-25/@@download/teaser_image/example-25_teaser.png)
Cooling via Radiation
A billet looses heat by radiation from all its surfaces to its surroundings. Example 25 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-26/@@download/teaser_image/example-26_teaser.png)
Pipe Whip
This problem illustrates a high speed, large deformation event with contact. Example 26 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
![](https://www.dynaexamples.com/introduction/Introduction/example-27/@@download/teaser_image/example-27_teaser.png)
Bar Impacting a Rigid Wall
A deformable copper bar impacts a rigid wall at high speed. Differences in contact modelling via *RIGIDWALL_PLANAR and *CONTACT_AUTOMATIC_SURFACE_TO_SURFACE can be studied. Solutions with constant stress solid (elform 1), fully integrated S/R solid (elforms 1, -1, -2), 1 point tetrahedron (elform 10), 1 point nodal pressure tetrahedron (elform 13) and 1 point ALE (elform 5) can be studied. Example 27 from Introductory Manual for LS-DYNA Users by James M. Kennedy.
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The Examples Manual
This guide is mainly addressed to first-time users. Several of the problems present a closed-form solution, while others a reference solution obtained by using an arbitrary refined mesh (NAFEMS Benchmarks). Most of the problems are IMPLICIT ones.