Influence of Material and Interface Properties on the Overall Behaviour of Particle Reinforced Steel with Focus on the Phase Transformation Capabilities of the Individual Components

Mehlhorn, L.; Prüger, Stefan; Soltysiak, Stefan; Mühlich, Uwe; Kuna, Meinhard

doi:10.1002/srin.201100083

Cited by 6 publications

(4 citation statements)

References 21 publications

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“…A more detailed description of the model can be found in Prüger et al . Unless otherwise stated, the corresponding material parameters are identical to the ones used in Mehlhorn et al …”

Section: Materials Modelsmentioning

confidence: 99%

“…The influence of interface characteristics, loading rate, reinforcement geometry and volume fraction on the response of metal matrix composites has been studied in detail . Because the material models used in these studies are not able to capture the complex material behavior of the constituents of the TRIP‐matrix composite, the influence of the reinforcement volume fraction f l and the interface characteristics on the overall phase transformation behavior was studied applying the material models described in Section and . Motivated by an experimental approach to quantify the particle strengthening and the transformation effect of PSZ in TRIP‐matrix composites, the response of such a composite under uniaxial compression is investigated.…”

Section: Micromechanical Modelmentioning

confidence: 99%

“…Furthermore, detailed microstructure analysis revealed that during deformation of the TRIP‐matrix composites both constituents undergo a phase transformation, i.e., a strain‐induced transformation from austenite ( γ ) to martensite ( α ′) in the TRIP‐steel matrix and a stress‐induced transformation from tetragonal (t) to monoclinic (m) ZrO 2 in the reinforcement . Motivated by these experimental observations, micromechanical studies have been conducted to examine the influence of the interface and material properties on the overall stress‐strain and phase transformation behavior of such a composite …”

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confidence: 99%

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Study of Reinforcing Mechanisms in TRIP‐Matrix Composites under Compressive Loading by Means of Micromechanical Simulations

et al. 2013

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TRIP‐matrix composites consist of austenitic steel and a partially stabilized zirconia, which yields a composite that can undergo a martensitic phase transformation in both components. Numerical analysis of the deformation and transformation behavior of such a composite is carried out by means of unit cell studies. The micromechanical simulations are conducted to separate and evaluate the two reinforcing mechanisms, namely the particle strengthening effect and the transformation effect in the partially stabilized zirconia. It is found that the phase transformation proceeds in a heterogeneous manner both in the matrix and the inclusion. The degree of inhomogeneity of transformation inside the inclusion is controlled by the interface strength.

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“…A more detailed description of the model can be found in Prüger et al . Unless otherwise stated, the corresponding material parameters are identical to the ones used in Mehlhorn et al …”

Section: Materials Modelsmentioning

confidence: 99%

Section: Micromechanical Modelmentioning

confidence: 99%

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confidence: 99%

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Study of Reinforcing Mechanisms in TRIP‐Matrix Composites under Compressive Loading by Means of Micromechanical Simulations

et al. 2013

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“…Partially stabilized zirconia (PSZ) has become a widely used ceramic because of its enhanced fracture toughness and nonlinear stress–strain behavior, which favors the material compared to classical structural ceramics. One application of PSZ is the fabrication of particle reinforced metal–matrix composites of PSZ particles in a TRIP‐steel matrix . The main advantage of such composites is their capability to compensate local stress concentrations by phase transformation in both components.…”

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A Material Model of Particle Size Dependent Transformation Plasticity of PSZ Ceramics under Thermomechanical Loading

2013

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Partially stabilized zirconia (PSZ) has become a widely used ceramic because of its enhanced fracture toughness and nonlinear stress-strain behavior, which favors the material compared to classical structural ceramics. One application of PSZ is the fabrication of particle reinforced metal-matrix composites of PSZ particles in a TRIP-steel matrix. [1] The main advantage of such composites is their capability to compensate local stress concentrations by phase transformation in both components.The high fracture toughness of PSZ results from a solid state phase transformation in the crack tip stress field. This effect, known as transformation toughening, was first reported by Garvie et al. [2] The effect was extensively investigated. [3][4][5][6] Generally, some conditions have to be complied for transformation toughening. The existence of a metastable phase in the material is required. The martensitic transformation from the metastable parent phase to the stable resultant phase has to be capable of being stress induced. It must happen instantly, which excludes any time-dependent processes, and is accompanied by a volume and/or shape change. In the PSZ ceramic material under consideration, a metastable tetragonal phase exists as finely dispersed precipitates embedded coherently in a cubic matrix material. These precipitates can transform into the monoclinic phase [7] triggered either by temperature or stress. The phase transformation, if unconstrained, results in a volume dilatation of approximately 4% and a shear strain of about 16%.Results of dilatometric experiments [8] show clearly the strong nonlinearity in the strain-temperature behavior of the investigated PSZ ceramic. In order to be able to simulate the processing of the composite material as well as to perform strength analysis, it is neccessary to provide proper constitutive equations for stress and temperature controlled phase transformation of PSZ ceramics based on physical assumptions accounting for the responsible micromechanical effects.The purpose of the current contribution is to present a material model for both mechanical and thermal loading. This is done by adopting and extending the model presented in the work of Sun et al. [9] Based on the concept of representative volume element (RVE) and the Hill-Rice internal variable theory, [10] this model provides a set of constitutive equations for the transformation plasticity of PSZ ceramics. The transformation criterion used in the model shows pressure dependence. In accordance with experimental results showing the influence of the macroscopic external applied stress on the formation of inelastic transformation strains, the material model takes into account the accompanying deviatoric and dilatational transformation strain and relates the strain deviator to the externally applied deviatoric stress. However, the model barely considers the crystallographic properties of the tetragonal to monoclinic phase transformation. It rather uses micromechanically motivated modeling approaches to predict the microst...

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Multi-scale Modeling of Partially Stabilized Zirconia with Applications to TRIP-Matrix Composites

Rajendran

Budnitzki

Kuna

2020

Austenitic TRIP/TWIP Steels and Steel-Zirconia Composites

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The understanding of how the microstructure influences the mechanical response is an essential pre-requisite for materials tailored to match specific requirements. The aim of this chapter is to further this understanding in the context of Mg-PSZ-TRIP-steel composites on three different scales using a set of methods ranging from phase-field simulations over micromechanics to continuum constitutive modeling. On the microscale, using a Ginzburg-Landau type phase-field model the effects of cooling- and stress-induced martensitic phase transformation in MgO-PSZ is clearly distinguished. Additionally with this method the role of energy barrier in variant selection and the effect of residual stress contributing to the stability of the tetragonal phase are also investigated. On the mesomechanical scale, an analytical 2D model for the martensitic phase transformation and self-accommodation of inclusions within linear elastic materials has been successfully developed. The influences of particle size and geometry, chemical driving force, temperature and surface energy on the $$t \rightarrow m$$ t → m transformation are investigated in a thermostatic approach. On the continuum scale, a continuum material model for transformation plasticity in partially stabilized zirconia ceramics has been developed. Nonlinear hardening behavior, hysteresis and monoclinic phase fraction during a temperature cycle are analyzed. Finally, The mechanical properties of a TRIP steel matrix reinforced by ZrO$$_2$$ 2 particles are analyzed on representative volume elements. Here the mechanical properties of the composite as function of volume fraction of both constituents and the strength of the interface are studied.

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Influence of Material and Interface Properties on the Overall Behaviour of Particle Reinforced Steel with Focus on the Phase Transformation Capabilities of the Individual Components

Cited by 6 publications

References 21 publications

Study of Reinforcing Mechanisms in TRIP‐Matrix Composites under Compressive Loading by Means of Micromechanical Simulations

Study of Reinforcing Mechanisms in TRIP‐Matrix Composites under Compressive Loading by Means of Micromechanical Simulations

A Material Model of Particle Size Dependent Transformation Plasticity of PSZ Ceramics under Thermomechanical Loading

Multi-scale Modeling of Partially Stabilized Zirconia with Applications to TRIP-Matrix Composites

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