Numerical Simulation of Nonlinear Engineering Problems Using LS-DYNA Book
Content of the LS-Dyna Book
Preface | vi | |
Chapter 1: Introducing LS-DYNA software | 1 | |
1.1 | Development history | 1 |
1.2 | Features and applications | 2 |
1.3 | System-compatible units in the software | 5 |
Chapter 2: Getting Started (Constitutive material models) | 6 | |
2.1 | Longitudinal impact of a rigid mass on the free end of an elastic bar | 7 |
2.2 | Johnson-Cook material model | 20 |
2.3 | Johnson Cook damage model | 37 |
2.4 | Penetration of a rigid projectile on an aluminum plate | 51 |
2.5 | Geomaterials | 70 |
2.6 | Impact response of reinforced concrete beam | 86 |
Chapter 3: Lagrangian Formulation | 108 | |
3.1 | The Taylor bar impact problem | 110 |
3.2 | Soil structure interaction | 119 |
3.3 | Rock cutting | 144 |
3.4 | Friction drilling | 160 |
References | 179 |
LS-Dyna Examples / Workshops
The book has 8 examples including:
- Example: Longitudinal impact of a rigid mass on a free end of an elastic bar
In this problem, a rigid striker of mass M1 with speed V1 hits the end of a long elastic bar which is perfectly fixed at its distal end. The purpose is to estimate the stress vs. time at the free end of the elastic rod where the rigid striker hits it and compare the numerical results with the analytical solution [1].
![]() |
![]() |
- Example: Single elements under various stress state
In this example, four single elements are simulated under various stress states (uniaxial compression, shear, uniaxial, and biaxial tension) and the concept of the Johnson-Cook damage model will be described [2].
![]() |
![]() |
![]() |
- Example: Penetration of a rigid projectile on an aluminum plate
In this example, the ballistic limits of Al2024-T3/T351 plates are studied and numerical results (residual velocity and failure mode) are compared with the experiment [3].
![]() |
![]() |
![]() |
- Example: Impact response of reinforced concrete beam
In this example, the accuracy of the geomaterials models includes the input parameter generation ability in estimating the impact response of reinforced concrete beam (contact force, mid-span deflection of RC beam, and failure mode) is studied and numerical results are compared with the experiment [4].
![]() |
![]() |
![]() |
- Example: The Taylor bar impact problem
The Taylor bar impact problem is a benchmark problem for estimating the accuracy of constitutive material models for expressing the behavior of metals under high strain rate loading. The problem consists of a cylinder impacting a rigid wall. Here, a cylinder made of OFHC copper impacts a rigid wall with an impact velocity is 190 m/s. The purpose is to investigate the accuracy of the two material models considered in estimating the final shape of a cylinder and comparing the numerical results with the experiments [5].
![]() |
![]() |
![]() |
- Example: Soil structure interaction
In this example, quasi-static large-scale soil penetration tests using Lagrangian formulations are investigated and numerical results are compared with the experiment [6].
![]() |
![]() |
![]() |
- Example: Rock Cutting
In this example, the rock failure process induced by a single disk cutter of a tunnel boring machine is simulated, and numerical results are compared with experimental data. The simulation is performed for the case in which the rock Indiana Limestone [7].
![]() |
![]() |
![]() |
- Example: Friction Drilling
In this example, we simulate the experiment presented in Krasauskas et al. which proposes the drilling experiments of AISI 304 steel to obtain drilling parameters and to compare numerical results with the experimental data. The drilling experiment was performed using AISI 304 steel sheet strips with 1.5 mm in thickness. During the experiment, the spindle rotation speed was set to 3000 rpm and the drilling feed rate of 100 mm/min was assigned [8].
|
|
References
[1]. W. Johnson, Impact strength off materials, Edward Arnold publisher, 1972.
[2]. G.R. Johnson & W. H. Cook, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Engineering Fracture Mechanics, vol. 21, no. 1, pp. 31-48, 1985.
[3]. S. Kelly & G. Johnson, Statistical testing of aircraft materials for transport- airplane rotor burst fragment shielding, Federal Aviation Administration, Report #DOT/FAA/AR-06/9 2006.
[4]. K. Fujikake et al., Impact response of reinforced concrete beam and its analytical evaluation. Journal of Structural Engineering, Vol. 135, No. 8, 2009.
[5]. T. J. Holmquist & G. R. Johnson, Determination of constants and comparison of results for various constitutive models. Journal de physique III, vol. 1, october 1991
[6]. C. Bojanowski. Numerical modeling of large deformations in soil structure interaction problems using FE, EFG, SPH, and MMALE formulations. Arch Appl Mech (2014) 84:743–755. DOI 10.1007/s00419-014-0830-5.
[7]. J. Rostami, Development of a force estimation model for rock fragmentation with disc cutters through theoretical modeling and physical measurement of crushed zone pressure, PhD thesis; Department of Mining Engineering, Colorado School of Mines, USA; (1997).
[8]. P. Krasauskas, S. Kilikevičius, R. Česnavičius, D. Pačenga, Experimental analysis and numerical simulation of the stainless AISI 304 steel friction drilling process, Mechanika. 20 (6) (2014) 590−595.
Updates
Version 2024
Who this book is for:
- Engineers and Simulation Analysts: Professionals involved in nonlinear engineering simulations who want to advance their skills in using LS-DYNA for complex, real-world problems.
- Researchers and Academics: Individuals in academia or research roles focusing on material behavior, computational mechanics, and validation techniques for nonlinear problems.
- Graduate Students: Especially those in fields like mechanical, civil, or aerospace engineering, who need practical and validated methods for simulating challenging engineering problems.
- Industry Professionals in High-Stress Sectors: Practitioners in automotive, aerospace, defense, and heavy industry, where accurate simulation of nonlinear dynamics is critical to safety, performance, and design optimization.
- LS-DYNA Users Seeking Advanced Training: Those already familiar with LS-DYNA looking to deepen their understanding of the software’s advanced features, validation techniques, and application to complex case studies.
What you’ll gain
-
By studying this book, readers will acquire advanced skills in simulating nonlinear engineering problems using LS-DYNA. Key learning outcomes include:
- Selecting Appropriate Material Models: Readers learn to choose suitable material behavior models for various nonlinear problems and understand which models are best suited for different scenarios.
- Validation Methods for Simulation Results: The book teaches how to validate simulation results against experimental data, allowing readers to assess and confirm the accuracy of their simulations.
- Applying LS-DYNA to Complex Problems: Through practical examples of nonlinear problems like impacts, large deformations, and thermal transfer, readers gain the knowledge to apply these techniques to real-world projects.
- Analyzing and Optimizing Numerical Models: Readers learn to analyze and optimize simulation parameters to improve model accuracy.
- LS-DYNA Applications Across Industries: With case studies from industries such as automotive, aerospace, and construction, the book helps readers apply simulation techniques across various fields.
Need help? Get a consultation from our experts.

Telegram: +98-915-55-20-388
WhatsApp: +98-915-55-20-388
Find Us on WeChat

Reviews
There are no reviews yet.