Deformation and failure under impact loading. model of a thermoelastoplastic medium

Kiselev, Arthemy V.; Yumashev, M. V.

doi:10.1007/bf00852455

Cited by 8 publications

(21 citation statements)

References 5 publications

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“…To study the processes in the explosive, water, and loaded solid, we will use a coupled model of damaged elastoplastic body [4]. This model falls into the class of models with internal state parameters and is based on the thermodynamic principles of continuum mechanics.…”

Section: Basic Equationsmentioning

confidence: 99%

Numerical simulation of the dynamics of a reinforced shell subject to nonstationary load

et al. 2008

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A numerical algorithm to determine the stress-strain state of a reinforced cylindrical shell subject to impulsive loading is elaborated. Results from a numerical analysis of the dynamic behavior of a reinforced elastoplastic shell under explosive loading are presented Keywords: reinforced cylindrical shell, elastoplastic processes, nonstationary loading, numerical method Introduction. Reinforced shell structures are objects of complicated geometry made of materials with different physical and mechanical properties. Such structures are subject to high shock-wave loads. In developing mathematical models and numerical algorithms for such objects, the need arises to describe the thermoelastoplastic behavior of materials and the formation and propagation of shock and unloading waves. Problems in the theory of reinforced shells are rather difficult to solve numerically. The studies [5-9] take into account physical and geometrical nonlinearities, material inhomogeneity, complicated boundary conditions, etc.The present paper offers a numerical algorithm to determine the stress-strain state of a reinforced shell subject to impulsive loading. We will use a finite-difference scheme of the second order developed to analyze the elastoplastic deformation of materials. This scheme is an extension of Wilkins' one [13]. We will discuss numerical results on the reaction of a reinforced elastoplastic shell to an internal explosive load.The deformation and failure of shell structures under dynamic loads generated by, for instance, detonated explosives are studied in a number of applications (military technology, explosive working of metals, etc.). A numerical analysis of dynamic contact problems allows us to obtain a detailed pattern of the processes in reinforced shell structures. We will study the interaction of a detonation wave and an elastoplastic barrier in a two-dimensional formulation. To describe the shell, reinforcement, and explosive, we will use a thermoelastoplastic model. The products of detonation are described, after the beginning of detonation, by equations of state. The shell and the explosive are surrounded by water. The equation of state of the water takes into account cavitation under negative loads. Loading and deformation of elements of such devices are nonstationary physical processes, which are quite complicated. For theoretical analysis of the dynamics of explosive loading, it is necessary to use sophisticated two-dimensional elastoplastic models. The present paper discusses results from a numerical simulation of the detonation of an explosive charge at the center of a cylindrical shell. The volume of the shell that is not occupied by the charge is filled with water.

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Section: Basic Equationsmentioning

confidence: 99%

Numerical simulation of the dynamics of a reinforced shell subject to nonstationary load

et al. 2008

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“…These references attempt to postulate a consistent damage model for laminated composite materials relating the deformation and failure under impact loading. In order to accomplish this, it becomes necessary to first consider a similar environment for isotropic materials [5]. In addition the failure, specifically the failure of a continuum under impact loading considered in references [1][2][3][4][5], is postulated as an energy dissipation criteria of a thermodynamic system in a time domain.…”

Section: Introductionmentioning

confidence: 99%

“…In order to accomplish this, it becomes necessary to first consider a similar environment for isotropic materials [5]. In addition the failure, specifically the failure of a continuum under impact loading considered in references [1][2][3][4][5], is postulated as an energy dissipation criteria of a thermodynamic system in a time domain. Thus, the presentation of thermodynamic principles and related expressions used to postulate the thermodynamic model of failure become necessary to convey a clear picture of the model's development.…”

Section: Introductionmentioning

confidence: 99%

“…The writers, therefore, attempt to present a review of each of the fundamental topics required to understand the damage expressions published by Smirnov et al [1][2][3][4] for an impact type of problem. This overview, as an initial effort, will emphasize the expressions published by Kiselev and Yumashev [5] dealing with the deformation and failure of isotropic materials under impact. Note that in Kiselev and Yumashev [5], the constitutive equation models elastoplastic material under impact loading, however, in Smirnov et al [1][2][3][4] the constitutive equations model viscoelastic material under impact loading.…”

Section: Introductionmentioning

confidence: 99%

“…This overview, as an initial effort, will emphasize the expressions published by Kiselev and Yumashev [5] dealing with the deformation and failure of isotropic materials under impact. Note that in Kiselev and Yumashev [5], the constitutive equation models elastoplastic material under impact loading, however, in Smirnov et al [1][2][3][4] the constitutive equations model viscoelastic material under impact loading. As a first step, the Kiselev and Yumashev [5] constitutive equations for an elastoplastic material will be discussed to illustrate the use of a thermodynamic model of failure.…”

Section: Introductionmentioning

confidence: 99%

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An Overview of a Continuum Mechanic Approach to a Thermodynamic Model of Failure

Palazotto¹,

Naboulsi²

1998

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This report provides a prelude to the work developed by Smirnov et al [1-4] considering the damage model of laminated composite materials. An overview of the thermodynamic definitions, concepts, and principles will be presented. This overview of the thermodynamics is necessary to provided the background needed to understand the damage model, which is based on thermodynamic principles. The essentials will be presented as follows: concepts and definitions, balancing laws, thermodynamic equilibrium or thermostatic, and the thermodynamic process. Furthermore, the essentials of the thermodynamics will be used to illustrate the development of the model of failure given by Kiselev and Yumashev [5]. The Kiselev and Yumashev model will be discussed prior to Smirnov's damage model since both are similar in their postulation of damage for structures undergoing impacts, and are based on thermodynamic principles. However, they are different in that the former is developed for elastoplastic isotropic homogenous material, and the latter is developed for laminated composite materials based on viscoelastic constitutive laws. That is, the constitutive equations for an elastoplastic material will be discussed to illustrate the use of a thermodynamic model of failure first, then the constitutive relations that incorporate a time dependent viscoelastic laminated composite materials will eventually be added in a subsequent report. 2.2 Thermodynamic Process Section 3: Conclusion References 83 REPORT DOCUMENTATION PAGE Form Approved OMB No. 0704-0188 Public reporting burden for this collection of Information is estimated to average 1 hour per response, including the time for reviewing Instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports,

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Mathematical model of the deformation and fracture of solid fuel in shock loading

Kiselev¹,

Yumashev²

1993

J Appl Mech Tech Phys

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Deformation and failure under impact loading. model of a thermoelastoplastic medium

Cited by 8 publications

References 5 publications

Numerical simulation of the dynamics of a reinforced shell subject to nonstationary load

Numerical simulation of the dynamics of a reinforced shell subject to nonstationary load

An Overview of a Continuum Mechanic Approach to a Thermodynamic Model of Failure

Mathematical model of the deformation and fracture of solid fuel in shock loading

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