Assessment of mechanical, thermal properties and crystal shapes of monoclinic tricalcium silicate from atomistic simulations

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Abstract

The two most common polymorphs in industrial alite, M1 and M3, were characterized at the molecular scale. Different methods were employed and discussed to assess mechanical properties and specific heat of both polymorphs. The calculated homogenized elastic moduli and specific heat were found in good agreement with experimental measurements. A comparative analysis of spacial Youngs modulus reveal isotropic and anisotropic spacial distribution for M1 and M3 respectively. A more isotropic compressive strength is also reported for M1 when compared to M3 polymorph. Cleavage energies computation allowed to proposed equilibrium shapes for both polymorph, with significant differences. While the lowest cleavage energies were found along (100) and (001) for both polymorphs, the constructed M1 crystal possesses 3 independent facets, against seven for the M3 polymorph.

Introduction

The research in cementitious materials is experiencing new challenges mainly due to the need to preserve the environment and save energy. To reduce CO2emissions and energy cost of production, alternative binders are under study [1]. However, ordinary Portland cement (OPC) should continue to be employed for a long time and understanding of its principal constituents is primordial for its improvement. Another way to reduce the environmental impact of Portland cement is to enhance its reactivity which will involve less content of cement in concrete for the same strength. Since alite is the principal phase of Portland clinker that most contributes to strength development of Portland cement and particularly at early ages, a deep understanding of its properties is crucial to improve its quality and reactivity. Alite is a tricalcium silicate (C3S) with minor oxides usually called impurities. It presents a large grade of polymorphism depending on different factors, among them: the nature and the amount of impurities, the temperature of preheating or burning [2]. Seven structures were reported in industrial alite: three triclinic (T1, T2and T3), three monoclinic (M1,M2and M3), and a rhombohedral form R. These polymorphs appear via successive and reversible phase transitions [3]:T1620°CT2920°CT3980°CM1990°CM21060°CM31070°CR

It is well known that impurities in alite stabilize high temperature polymorphs at low temperatures [3,4]. The two main C3S polymorphs present in industrial clinker are M1 and M3. According to Maki and Goto [5], MgO in clinker promotes the stable growth of alite in favor of the occurrence of M3. In contrary, decreased MgO/SO3ratio lead to M1 stabilization [2,5]. It was also reported that preheating of the raw meal may result in the disappearance of the M3 polymorph [2]. This modifications in the structure of C3S can have a significant impact on strength as reported in few experimental results in the literature [2,6]. The transformation of M3 to M1 polymorph may result in a 10% increase in the compressive strength [2]. The origin of this observed variation in strength could be explained by a greater amount of non-bonding electrons in oxygens of M1 C3S, leading to a higher reactivity when compared to the M3 polymorph. The impact of structure at the nanoscale on the properties like strength is a complex topic and investigation at the atomic level via molecular modelling and simulation should be helpful to improve our understanding of Portland cement.

Over recent years, the properties of cementitious materials were addressed using atomistic models, with particular attention on the main hydration product of OPC: calcium silicate hydrates (C-S-H) [7,8]. In comparison, only few studies at the atomic scale focused on OPC clinker phases [9]. Computation of thermal and mechanical properties at the molecular scale can provides important information on the behaviour of OPC clinker and hydrated product. From the computation of surface energies, crystal shapes can be theoretically constructed for different polymorphs and help to understand morphological changes [10]. The knowledge of preferential cleavage planes and crystal shapes of C3S polymorphs is fundamental to understand their growth during the clinkering process [11]. It could also explain C3S dissolution mechanisms [12] or cleavage modes during clinker grinding [13,14]. Determination of such properties by experimental methods are most of the time limited, especially in the case of surface energies [15]. In all cases, a proper synthesis procedure of pure C3S is necessary, and the determination of the amount of each polymorph in a sample is neither trivial nor accurate [16].

In this work, the mechanical, thermal and surface properties of M1 and M3 C3S (the main forms of alite encountered in industrial OPC [17]) were characterized by molecular dynamics (MD) simulations. The present article is divided into four sections: crystal structures and force fields, mechanical properties, thermal properties, and cleavage energies and equilibrium shapes. The last three sections include a description of the method employed and a presentation and discussion of results. To finish, a general conclusion resumes the different findings.

Section snippets

Crystal structures and force fields

The atomistic systems investigated were built from the pure M1 [17] and M3 [18] crystal structures depicted in Fig. 1. While the latter has already been used [13,19,20], this is the first time that a M1 C3S model has been employed in a MD investigation, despite of its predominance in alite of Portland clinker with high SO3 content [5]. Regarding atomic structural organization along the (010) direction, and b parameters, the two cells are very close. However, the two models are shifted by 1/4 in

Methods

Elastic properties of solids are generally computed by applying a strain or a stress in the desired directions and by determining the strain-stress or strain-energy relations. Two type of methods are used and discussed in this work: static optimization methods and time integration methods.

  • 1.

    Static optimization methods are typically applied at 0 K, or where anharmonical vibrations can be neglected, although lattice vibration frequency can be included through quasi-harmonic approximation techniques

Thermal properties

During its lifetime, concrete undergoes temperature changes. The thermal expansion and contraction of concrete as temperature increases and decreases, is influenced by the aggregate type, the cement type, and the water/cement ratio. Although the aggregate type has the larger influence on the expansion and contraction of concrete, the thermal properties of hydrated and dry cement is of great interest. Thermal cracking of concrete generally occurs during the first days after casting. During the

Cleavage energies and equilibrium shapes

In the current section, the cleavage energies of M1 and M3 C3S were calculated from energy difference of cleaved and unified slabs. From these energies, the crystal shapes of both polymorphs were constructed using the Wulff construction method [57].

Conclusion

This research aimed to provide knowledge at the atomic scale on the influence of alite polymorphism on its mechanical and thermal properties as well as on its equilibrium shape. The two main polymorphs of C3S in industrial OPC, M1 and M3, were investigated. This knowledge may contribute to the understanding of the influence of alite polymorphism on the variation in strength of Portland cement. This work also provide input data that are necessary in microscale modelling of Portland cement

CRediT authorship contribution statement

Jérôme Claverie: Conceptualization, Methodology, Software, Validation, Formal analysis, Investigation, Writing - original draft, Writing - review & editing.

Fabrice Bernard: Conceptualization, Methodology, Validation, Writing - review & editing, Supervision.

João Manuel Marques Cordeiro: Conceptualization, Methodology, Validation, Writing - review & editing, Super- vision.

Siham Kamali-Bernard: Conceptualization, Methodology, Validation, Resources, Writing - review & editing, Supervision.

Declaration of competing interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgments

The authors acknowledge Brazilian science agencies CAPES (PDSE process no 88881.188619/2018-01) and CNPq for financial support.

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