Monitoring the hydration of cement using highly nonlinear solitary waves

In this paper we present a nondestructive evaluation technique based on the propagation of highly nonlinear solitary waves (HNSWs) to monitor the hydration of cement. HNSWs are mechanical waves that can form and travel in highly nonlinear systems, such as one-dimensional chains of contacting spherical particles (i.e., granular crystals). In the present study, we use a granular crystal-based actuator/sensor to observe the solitary waves propagating to and from the mechanical interface between the transducer and a fresh gypsum cement sample. We hypothesize that the reflected HNSWs traveling along the crystal-based transducer are affected by the hydration process of the cement, and we assess the elastic modulus of the specimen in the localized region of the granular crystal contact. To verify the experimental results, we perform numerical simulations based on a simplified finite element model. The elastic properties of the cement specimen measured by the granular crystal transducer are compared with the compressive strength and the elastic modulus measurements obtained from destructive tests, conducted according to the ASTM C109. We observe good agreement between experiments and numerical simulations.

[1]  Robert S. MacKay,et al.  Solitary waves in a chain of beads under Hertz contact , 1999 .

[2]  Peter V. Coveney,et al.  Ultrasonic measurements on hydrating cement slurries: Onset of shear wave propagation , 1995 .

[3]  Colin M. Sayers,et al.  Propagation of ultrasound through hydrating cement pastes at early times , 1993 .

[4]  Surajit Sen,et al.  Secondary solitary wave formation in systems with generalized Hertz interactions. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Zhihui Sun,et al.  Early Age Microstructure Of Portland Cement Mortar Investigated By Ultrasonic Shear Waves And Numerical Simulation , 2005 .

[6]  Claudio Silvestro,et al.  Interaction of highly nonlinear solitary waves with linear elastic media. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Jinying Zhu,et al.  Monitoring early age microstructure development of cement paste using bender elements , 2010, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[8]  C Daraio,et al.  Strongly nonlinear wave dynamics in a chain of polymer coated beads. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  A. P. Hibbert,et al.  Correlation between cube strength, ultrasonic pulse velocity and volume change for oil well cement slurries , 1989 .

[10]  John S. Popovics,et al.  Improved ultrasonic wave reflection technique to monitor the setting of cement-based materials , 2006 .

[11]  S. Fauve,et al.  Collision of a 1-D column of beads with a wall , 1998 .

[12]  M. I. ValicÏ.  Hydration of cementitious materials by pulse echo USWR Method , apparatus and application examples , 2022 .

[13]  Tarun R. Naik,et al.  The Ultrasonic Pulse Velocity Method , 2003 .

[14]  Xianglei Ni,et al.  Laser-based excitation of nonlinear solitary waves in a chain of particles. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Gypsum hydration: a theoretical and experimental study , 2009 .

[16]  Thierry Chotard,et al.  Application of ultrasonic testing to describe the hydration of calcium aluminate cement at the early age , 2001 .

[17]  A. P. Hibbert,et al.  Comparison of shear modulus and pulse velocity techniques to measure the build-up of structure in fresh cement pastes used in oil well cementing , 1989 .

[18]  M. Brodwin,et al.  The influence of the hydration process upon microwave properties of cements , 1991 .

[19]  F. Cohen Tenoudji,et al.  Mechanical properties of cement pastes and mortars at early ages: Evolution with time and degree of hydration , 1996 .

[20]  Chiara Daraio,et al.  Novel sensor technology for NDE of concrete , 2009, Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[21]  M. M. Smirnov,et al.  PROPAGATION OF NONLINEAR COMPRESSION PULSES IN GRANULAR MEDIA , 2004 .

[22]  Mason A Porter,et al.  Dissipative solitary waves in granular crystals. , 2008, Physical review letters.

[23]  P. P. Rao,et al.  An Ultrasonic Device for Nondestructive Testing of Oilwell Cements at Elevated Temperatures and Pressures , 1982 .

[24]  Thierry Chotard,et al.  Correlation between hydration mechanism and ultrasonic measurements in an aluminous cement: effect of setting time and temperature on the early hydration , 2002 .

[25]  V. Nesterenko,et al.  Dynamics of Heterogeneous Materials , 2001 .

[26]  Colin M. Sayers,et al.  Ultrasonic propagation through hydrating cements , 1993 .

[27]  J. Bonnet,et al.  Electrical characterization of aluminous cement at the early age in the 10 Hz–1 GHz frequency range , 2000 .

[28]  Martine Wevers,et al.  Active and passive monitoring of the early hydration process in concrete using linear and nonlinear acoustics , 2009 .

[29]  C. Daraio,et al.  Strongly nonlinear waves in a chain of Teflon beads. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Mason A. Porter,et al.  Highly Nonlinear Solitary Waves in Heterogeneous Periodic Granular Media , 2007, 0712.3552.

[31]  Adam Sokolow,et al.  How hertzian solitary waves interact with boundaries in a 1D granular medium. , 2005, Physical review letters.

[32]  Alessandro Spadoni,et al.  Generation and control of sound bullets with a nonlinear acoustic lens , 2009, Proceedings of the National Academy of Sciences.

[33]  Laurence J. Jacobs,et al.  Characterization of entrained air voids in cement paste with scattered ultrasound , 2006 .

[34]  Xianglei Ni,et al.  Actuators for the generation of highly nonlinear solitary waves. , 2011, The Review of scientific instruments.

[35]  C. Daraio,et al.  Tunability of solitary wave properties in one-dimensional strongly nonlinear phononic crystals. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  Zongjin Li,et al.  Hydration monitoring of cement-based materials with resistivity and ultrasonic methods , 2009 .

[37]  A.L.A. Fraaij,et al.  Experimental study and numerical simulation on the formation of microstructure in cementitious materials at early age , 2003 .