The effect of hydrostatic pressure on the deformation behavior of maraging and HY-80 steels and its implications for plasticity theory

Spitzig, W.A.; Sober, R. J.; Richmond, O.

doi:10.1007/bf02817888

Cited by 224 publications

(90 citation statements)

References 14 publications

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“…An asymmetry between tension and compression has been found for material like SMA, this effect is also called SD-effect for "strength differential effect" [2], [3] and [4]. This effect appears clearly on the surface at the initiation transformation from austenite to martensite under proportional loading.…”

Section: Taking Into Account the Asymmetry Between Tension And Comprementioning

confidence: 96%

Application with the experimental results of the Roundrobin of a 3D modelling SMA based on the based on the phase transformation surface identification under proportional loading and anisothermal conditions

Gibeau

Lexcellent

Boubakar

2009

ESOMAT 2009 - 8th European Symposium on Martensitic Transformations

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Abstract. We present a model based on the phase transformation surface of SMA. This model is described per a thermodynamical point of view. We applied this modelling on an experimental part that has been realized by P. Sittner et al. on a nickel titane wire. We had several experimental sets with we could show the performances of our model, in particular when the taking into account of the asymmetry of the yield surface and the respect of the hysteresis width.

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Section: Taking Into Account the Asymmetry Between Tension And Comprementioning

confidence: 96%

Application with the experimental results of the Roundrobin of a 3D modelling SMA based on the based on the phase transformation surface identification under proportional loading and anisothermal conditions

Gibeau

Lexcellent

Boubakar

2009

ESOMAT 2009 - 8th European Symposium on Martensitic Transformations

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“…As is indicated by experiments, yield surface is often well described by a proper quadric surface which provides a description of the strength-differential effect [24][25][26] in uniaxial states. According to (2.2), each energy component Φ i is proportional to |σ i | 2 .…”

Section: Yield Conditionmentioning

confidence: 99%

Energy-Based Yield Criteria for Orthotropic Materials, Exhibiting Strength-Differential Effect. Specification for Sheets under Plane Stress State

Szeptyński

2017

Archives of Metallurgy and Materials

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A general proposition of an energy-based limit condition for anisotropic materials exhibiting strength-differential effect (SDE) based on spectral decomposition of elasticity tensors and the use of scaling pressure-dependent functions is specified for the case of orthotropic materials. A detailed algorithm (based on classical solutions of cubic equations) for the determination of elastic eigenstates and eigenvalues of the orthotropic stiffness tensor is presented. A yield condition is formulated for both two-dimensional and three-dimensional cases. Explicit formulas based on simple strength tests are derived for parameters of criterion in the plane case. The application of both criteria for the description of yielding and plastic deformation of metal sheets is discussed in detail. The plane case criterion is verified with experimental results from the literature.

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“…Many of them were developed under the assumption that the hydrostatic stress does not influence neither the elasticity limit nor the plastic flow. Facing the experimental data gathered for decades this assumption cannot always hold true.A definite influence of pressure on the yield stress was proved by experiments (Spitzig, Richmond and Sober [36] [37], Wilson [38] and others). The relation between pressure sensitivity and the strength differential effect was also pointed out [39].…”

Section: Brief Review On the Limit Criteria For Anisotropic Solidsmentioning

confidence: 99%

Mathematical Foundations of Limit Criterion for Anisotropic Materials

Ostrovvska-Maciejewska¹,

Szeptyński²,

Pȩcherski³

2013

Archives of Metallurgy and Materials

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In the paper a new proposition of limit state criteria for anisotropic solids exhibiting different strengths at tension and compression is presented. The proposition is based on the concept of energetically orthogonal decompositions of stress state introduced by Rychlewski. The concept of stress state dependent parameters describing the influence of certain stress modes on the total measure of material effort was firstly presented by Burzyński. The both concepts are reviewed in the paper. General formulation of a new limit criterion as well as its specification for certain elastic symmetries is given. It is compared with some of the other known limit criteria for anisotropic solids. General methodology of acquiring necessary data for the criterion specification is presented. The ideas of energetic and limit state orthogonality are discussed -their application in representation of the quadratic forms of energy and limit state criterion as a sum of square terms is shown.Keywords: anisotropy, strength hypothesis, material e?ort, yield condition, plastic potential, strength differential effect, elasticity, plasticity Artykuł przedstawia nową propozycję kryterium stanu granicznego dla anizotropowych ciał stałych wykazujących różną wytrzymałość przy rozciąganiu i ściskaniu. Propozycja ta opiera się na koncepcji energetycznie ortogonalnych rozkładów stanu naprężenia zaproponowanej przez Rychlewskiego. Pomysł wykorzystania zależnych od stanu naprężenia parametrów określających wpływ konkretnych form naprężenia na całkowitą miarę wytężenia materiału po raz pierwszy został przedstawiony przez Burzyńskiego. W pracy omówione są obydwie koncepcje. Przedstawione jest ogólne sformułowanie nowego warunku granicznego, jak również jego specyfikacja dla wybranych symetrii sprężystych. Kryterium to zostało porównane z niektórymi innymi spośród znanych kryteriów granicznych dla ciał anizotropowych. Przedstawiono ogólną metodologię pozyskiwania danych wymaganych do specyfikacji kryterium.

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The effect of hydrostatic pressure on the deformation behavior of maraging and HY-80 steels and its implications for plasticity theory

Cited by 224 publications

References 14 publications

Application with the experimental results of the Roundrobin of a 3D modelling SMA based on the based on the phase transformation surface identification under proportional loading and anisothermal conditions

Application with the experimental results of the Roundrobin of a 3D modelling SMA based on the based on the phase transformation surface identification under proportional loading and anisothermal conditions

Energy-Based Yield Criteria for Orthotropic Materials, Exhibiting Strength-Differential Effect. Specification for Sheets under Plane Stress State

Mathematical Foundations of Limit Criterion for Anisotropic Materials

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