<i>Stress Wave Propagation in Solids</i>

Wasley, Richard J.; Miklowitz, Julius

doi:10.1063/1.3128539

Cited by 20 publications

(12 citation statements)

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“…Elastic and plastic wave velocities are plotted as a function of their associated particle velocities in Figure 6. This figure is similar to Figure 6 of Reference [10] and Figure 11-13 of Reference [11]. These EPSP data for this polycrystalline organic material exhibit metallic like behavior (see Figures 1, 3, and 4).…”

Section: Pressed Tntsupporting

confidence: 73%

The Relevance of the De Broglie Relation to the Hugoniot Elastic Limit (HEL) of Shock Loaded Solid Materials

Billingsley¹,

Oliver²

1990

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Section: Pressed Tntsupporting

confidence: 73%

The Relevance of the De Broglie Relation to the Hugoniot Elastic Limit (HEL) of Shock Loaded Solid Materials

Billingsley¹,

Oliver²

1990

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“…By definition, the state of stress generated by a planar, normal shock wave (particle velocity is perpendicular to shock front) is a uniaxiaZ strain state (11). This state of stress should be decomposed into a deviatoric and a hydrostatic component.…”

Section: State Of Stress Induced By Shock Wavesmentioning

confidence: 99%

Defect Generation in Shock-Wave Deformation

Meyers

Murr

1981

Shock Waves and High-Strain-Rate Phenomena in Metals

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“…Assumption 1: There exist two real numbers with such that the following inequalities hold in the whole (i.e., for all (3) where is the Euclidean norm of the vector at argument. Assumption 1 implies that the limit superior upon of the greatest eigenvalue of is finite and that the limit inferior upon of the smallest eigenvalue of is greater than zero.…”

Section: Equations Of Motion Of Mechanical Systems Subject To Smomentioning

confidence: 99%

Modeling and control of impact in mechanical systems: theory and experimental results

Tornambè

1999

IEEE Trans. Automat. Contr.

118

101

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International audienceThis paper considers the equations of motion of mechanical systems subject to inequality constraints, which can be obtained by looking for the stationary value of the action integral. Two different methods are used to take into account the inequality constraints in the computation of the stationary value of the action integral: the method of the Valentine variables and the method of the penalty functions. The equations of motion resulting from the application of the method of the Valentine variables, which introduces the concept of " nonsmooth " impacts, constitute the exact model of the constrained mechanical system; such a model is suitable to be employed when the impacting parts of the actual mechanical system are very stiff. The equations of motion resulting from the application of the method of the penalty functions, which introduces the concept of " smooth impacts, " constitute an approximate model of the constrained mechanical system; such a model is suitable to be employed when the impacting parts of the actual mechanical system show some flexibility. Various feedback control laws from the natural outputs and from their time derivatives are studied with reference to both models of impact; the closed-loop systems resulting from the application of the same control law to both models show pretty much the same global asymptotic stability properties. The proposed control laws are only concerned with regulation problems in the presence of possible contacts and impacts among parts of the mechanical system or with the external environment ; the problem of controlling these mechanical systems along time-varying trajectories is not considered in this paper. The effectiveness of the proposed control structure has been tested experimentally with reference to a single-link robot arm, showing a valuable behavior

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Stress Wave Propagation in Solids

Cited by 20 publications

References 0 publications

The Relevance of the De Broglie Relation to the Hugoniot Elastic Limit (HEL) of Shock Loaded Solid Materials

The Relevance of the De Broglie Relation to the Hugoniot Elastic Limit (HEL) of Shock Loaded Solid Materials

Defect Generation in Shock-Wave Deformation

Modeling and control of impact in mechanical systems: theory and experimental results

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