Constitutive behaviour of anisotropic materials under shock loading

Lukyanov, Alexander A.

doi:10.1016/j.ijplas.2007.02.009

Cited by 52 publications

(51 citation statements)

References 52 publications

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“…Therefore, the MCM model must account for the fact that hydrostatic pressure applied to a finite volume causes not only a volume change, but also a shape or distortional change. The coupling is accounted for within the MCM model using the relationships developed by Lukyanov [5]. Lukyanov's relationships modify the pressure term, which results from the EOS, such that an applied pressure only causes a volume change without a distortional change.…”

Section: Equation Of State Couplingmentioning

confidence: 99%

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Evaluation of a strain based failure criterion for the multi-constituent composite model under shock loading

Key

Schumacher

Alexander

2015

EPJ Web of Conferences

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Abstract. This study details and demonstrates a strain-based criterion for the prediction of polymer matrix composite material damage and failure under shock loading conditions. Shock loading conditions are characterized by high-speed impacts or explosive events that result in very high pressures in the materials involved. These material pressures can reach hundreds of kbar and often exceed the material strengths by several orders of magnitude. Researchers have shown that under these high pressures, composites exhibit significant increases in stiffness and strength. In this work we summarize modifications to a previous stress based interactive failure criterion based on the model initially proposed by Hashin, to include strain dependence. The failure criterion is combined with the multi-constituent composite constitutive model (MCM) within a shock physics hydrocode. The constitutive model allows for decomposition of the composite stress and strain fields into the individual phase averaged constituent level stress and strain fields, which are then applied to the failure criterion. Numerical simulations of a metallic sphere impacting carbon/epoxy composite plates at velocities up to 1000 m/s are performed using both the stress and strain based criterion. These simulation results are compared to experimental tests to illustrate the advantages of a strain-based criterion in the shock environment.

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Section: Equation Of State Couplingmentioning

confidence: 99%

“…(8), the deviatoric strains are zero. The reader is referenced to Lukyanov [5] for a complete derivation and description of these terms, as the details are not included here for brevity.…”

Section: Equation Of State Couplingmentioning

confidence: 99%

Evaluation of a strain based failure criterion for the multi-constituent composite model under shock loading

Key

Schumacher

Alexander

2015

EPJ Web of Conferences

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“…The MCT model provides two different options to the user for incorporating this coupling. These include a method developed by Anderson et al (1994) and a method by Lukyanov (2006Lukyanov ( , 2008. Both methods are available within the MCT model and are briefly outlined in the following sections.…”

Section: Modifications For Anisotropic Materialsmentioning

confidence: 99%

“…Lukyanov's (2006Lukyanov's ( , 2008 work initially follows the work of Anderson but modifies the pressure term for an anisotropic material to be consistent with an isotropic material. In other words, Lukyanov's work focuses on the fact that a hydrostatic pressure applied to an anisotropic material results in an anisotropic state of strain, which is inconsistent with the definition of "generalized pressure".…”

Section: Dev Ijmentioning

confidence: 99%

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CTH reference manual : composite capability and technologies.

Key¹,

Schumacher²

2009

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The composite material research and development performed over the last year has greatly enhanced the capabilities of CTH for non-isotropic materials. The enhancements provide the users and developers with greatly enhanced capabilities to address non-isotropic materials and their constitutive model development. The enhancements to CTH are intended to address various composite material applications such as armor systems, rocket motor cases, etc. A new method for inserting non-isotropic materials was developed using Diatom capabilities. This new insertion method makes it possible to add a layering capability to a shock physics hydrocode. This allows users to explicitly model each lamina of a composite without the overhead of modeling each lamina as a separate material to represent a laminate composite. This capability is designed for computational speed and modeling efficiency when studying composite material applications. In addition, the layering capability also allows a user to model interlaminar mechanisms. Finally, non-isotropic coupling methods have been investigated. The coupling methods are specific to shock physics where the Equation of State (EOS) is used with a nonisotropic constitutive model. This capability elastically corrects the EOS pressure (typically isotropic) for deviatoric pressure coupling for non-isotropic materials. 4 AcknowledgmentWe would like to acknowledge Todd Bjerke, Brian Love (a.k.a Dr. Love) and Dan Casem from the Army Research Laboratory. We thank them for their participation, guidance and passion for composite armor systems.5

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A MPM Lagrangian‐Eulerian hydrocode for simulating buried explosions in transversely isotropic geomaterials

Xiao,

Sun

2024

Num Anal Meth Geomechanics

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Shock waves in geological materials are characterized by a sudden release of rapidly expanding gas, liquid, and solid particles. These shock waves may occur due to explosive volcanic eruptions or be artificially triggered. In fact, underground explosions have often been used as an engineering solution for large‐scale excavation, stimulating oil and gas recovery, creating cavities for underground waste storage, and even extinguishing gas field fires. As such, hydrocodes capable of simulating the rapid and significant deformation under extreme conditions can be a valuable tool for ensuring the safety of the explosions. Nevertheless, as most of the hydrocodes are often formulated in an Eulerian grid, this setting makes it non‐trivial to track the deformation configuration of the materials without a level set. The objective of this paper is to propose the use of the material point method equipped with appropriate equation of state (EOS) models as a hydrocode suitable to simulate underground explosions of transverse isotropic geomaterials. To capture the anisotropic effect of the common layered soil deposits, we introduce a new MPM hydrocode where an anisotropic version of the Mie‐Gruneisen EOS is coupled with a frictional Drucker‐Prager plasticity model to replicate the high‐strain‐rate constitutive responses of soil. By leveraging the Lagrangian nature of material points to capture the historical dependence and the Eulerian calculation of internal force, the resultant model is capable of simulating the rapid evolution of geometry of the soil as well as the high‐strain‐rate soil mechanics of anisotropic materials.

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Constitutive behaviour of anisotropic materials under shock loading

Cited by 52 publications

References 52 publications

Evaluation of a strain based failure criterion for the multi-constituent composite model under shock loading

Evaluation of a strain based failure criterion for the multi-constituent composite model under shock loading

CTH reference manual : composite capability and technologies.

A MPM Lagrangian‐Eulerian hydrocode for simulating buried explosions in transversely isotropic geomaterials

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