Numerical Simulation of Nonlinear Engineering Problems Using LS-DYNA Book

Content of the LS-Dyna Book

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