Abstract

Microstructure‐based finite-element analysis with a microcracking algorithm was used to simulate an actual degradation phenomenon of marble structures, i.e., microcracking. Both microcrack initiation and crack propagation were characterized, as were their dependence on lattice preferred orientation (LPO), grain shape preferred orientation (SPO), grain size, marble composition (calcite and dolomite) and grain‐boundary fracture toughness. Two LPOs were analyzed: a random orientation distribution function and an orientation distribution function with strong directional crystalline texture generated from a March–Dollase distribution. Three SPOs were considered: equiaxed grains; elongated grains and a mixture of equiaxed and elongated grains. Three different grain sizes were considered: fine grains of order 200 μm (only calcitic marble); medium size grains of order 1 mm (calcitic and dolomitic marbles); and large grains of order 2 mm (only dolomitic marble). The fracture surface energy for the grain boundaries, γig, was chosen to be 20 and 40 % of the fracture surface energy of a grain, γxtal, so that both intergranular and transgranular fracture were possible. Studies were performed on these idealized marble microstructures to elucidate the range of microcracking responses. Simulations were performed for both heating and cooling by 50 °C in steps of 1 °C. Microcracking results were correlated with the thermoelastic responses, which are indicators related to degradation. The results indicate that certain combinations of LPO, SPO, grain size, grain‐boundary fracture toughness and marble composition have a significant influence on the thermal-elastic response of marble. Microstructure with the smallest grain size and the highest degree of SPO and LPO had less of a tendency to microcrack. Additionally, with increasing SPO and LPO microcracking becomes more spatially anisotropic. A significant observation for all microstructures was an asymmetry in microcracking upon heating and cooling: more microcracking was observed upon cooling than upon heating. Given an identical microstructure and crystallographic texture, calcite showed larger thermal stresses than dolomite, had an earlier onset of microcracking upon heating and cooling, and a greater microcracked area at a given temperature differential. Thermal expansion coefficients with and without microcracking were also determined.

Highlights

  • Marble has been used as decorative and constructive material since ancient times

  • The results indicate that certain combinations of lattice preferred orientation (LPO), shape preferred orientation (SPO), grain size, grain-boundary fracture toughness and marble composition have a significant influence on the thermal-elastic response of marble

  • The influence of SPO and LPO are illustrated for a calcitic marble with a nominal grain size of 1 mm and a grainboundary toughness of 40 % of the single crystal toughness

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Summary

Introduction

Marble has been used as decorative and constructive material since ancient times. Marbles can be extremely sensitive to weathering and to degradation, and can have limited durability. The Taj Mahal, the famous masterpiece of architectural art (see Fig. 1), is a white marble mausoleum situated in Agra, India. Due to acid rain generated from an oil refinery and foundries, the marble facades on the Taj Mahal have been losing their luster, brightness, and white color into a sickly shade. Siegesmund et al (2000, 2007) pointed out that physical weathering is thought to be the initial stage of marble degradation. Due to acid rain generated from an oil refinery and foundries, the marble facades on the Taj Mahal have been losing their luster, brightness, and white color into a sickly shade. Siegesmund et al (2000, 2007) pointed out that physical weathering is thought to be the initial stage of marble degradation.

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