Open Access Article
This Open Access Article is licensed under a
Creative Commons Attribution 3.0 Unported Licence

Combined aza-Michael and radical photopolymerization reactions for enhanced mechanical properties of 3D printed shape memory polymers

Lucile Halbardier, Emile Goldbach, Céline Croutxé-Barghorn*, Anne-Sophie Schuller and Xavier Allonas
Laboratoire de Photochimie et d'Ingénierie Macromoléculaires, Institut Jean Baptiste Donnet, 3b rue Alfred Werner, 68093 Mulhouse Cedex, France. E-mail: celine.croutxe-barghorn@uha.fr

Received 29th August 2022 , Accepted 17th October 2022

First published on 25th October 2022


Abstract

3D printed shape memory polymers (SMP) were formed by combining aza-Michael addition and light initiated radical polymerization. Amine consumption and acrylate conversion were monitored by 1H-NMR and Fourier transform infrared spectroscopies. Dynamic mechanical analysis and cyclic thermomechanical tensile tests enabled direct observation of the polymer network changes. Increased homogeneity of the 3D network and enhanced SMP properties were achieved after the reaction between residual acrylate functions trapped in the vitrified medium with the secondary amines formed during the process. This allows the fabrication of shape memory objects by 3D printing.


Among the various shape memory polymers (SMP),1 those exhibiting changes in shape under temperature are those widely implemented in industry.2 SMP can be made from different kinds of polymers (polyurethanes,3 epoxys,4,5 acrylates6–10) depending on the application. Used in the biomedical field11 for implants, drug delivery systems,12,13 stents or vascular grafts,14,15 SMP are also implemented in the aerospace industry for the deployment of structure16–19 and in the robotic field.20,21 They are generally made via molding, which is a high cost process due to the fabrication of molds, and often exhibit limited shape complexity. Today, a large part of these materials are made by 3D printing, through fused deposition molding (FDM),22 direct ink writing23 (DIW), stereolithography (SLA)24 or digital light processing (DLP).6

For SLA and DLP processes, acrylate monomers are used because of their high reactivity and their commercial availability. Although radical photopolymerization allows a fast growth of the polymer material, it is known to yield premature vitrification and an internal network heterogeneity. Consequently, the final material has limited shape memory properties. Such a material, which exhibits a high crosslink density leads under evaluation of its SMP properties to important internal stress during its stretching.25,26 When cooled down at T < Tg and upon maintained strain, it undergoes additional intramolecular rearrangements to reach a stable temporary form, a fact which decreases the final fixation ratio. In addition, the high crosslink density also limits the chain mobility during the recovery of the original shape at T > Tg, therefore decreasing the recovery ratio.

To tackle the drawbacks, several strategies have been considered. They mainly consist in reducing the crosslink density of the polymer network. For example, the synthesis of high molar weight diacrylate prepolymers based on polycaprolactone and polypentadecalactone was reported.7 Mixed with a weak amount of crosslinking agent, it resulted in a polymer network exhibiting two different melting temperatures, leading thus to a reversible programmable SMP. The use of tert-butylacrylate combined with 10% of 1,6-hexanedioldiacrylate was also considered.8 Another approach to limit the number of crosslinks is to create physical crosslinks like hydrogen bonds. These latter can stabilize the temporary shape when the material is stretched and cooled below its Tg. Upon heating, these physical crosslinks are broken, thereby increasing polymer chains mobility. This facilitates the return to the original shape. Following this approach, different ratios of high molecular weight urethane diacrylate and tert-butylacrylate have been investigated successfully and their SMP properties assessed.9 Combination of monofunctional methacrylates and a multifunctional photoinitiator seems also particularly attractive for SMP generation.10 The slightly crosslinked polymer network was stabilized by hydrogen bonds created between the hydroxyl function from hydroxyethylmethacylate (HEMA) and the carbonyl groups of the acrylate functions. As can be seen, these different approaches, although successful, are focused on the use of large amount of monofunctional monomers, which merely leads to low cross-linking density and therefore, reduced mechanical properties.

In this paper, the chemical approach consists in the in situ formation of a branched poly(amino ester) prepolymer at room temperature and without preliminary synthesis, that is subsequently photopolymerized under a 3D printing step. An aza-Michael addition reaction (AZ1) first takes place between a primary diamine and an acrylate in large excess to generate a secondary amine monoadduct noted AMS (Fig. 1a). Then the resulting prepolymer is photopolymerized, in presence of a photoinitiator, under subsequent exposure in the 3D printer. After full completion of the 3D building process and light processed post-curing, a second and slow nucleophilic aza-Michael addition (AZ2) starts in the dark.27–29 It results in a further cross-linking process between the generated secondary amines AMS and unreacted acrylates trapped in the vitrified medium.27 This yields a tertiary amine diadduct (ADT) (Fig. 1b). This reaction leads to a more homogeneous network as shown by DMA. The resulting polymer exhibits shape memory effect with high degree of fixation of the temporary shape.


image file: d2ra05404c-f1.tif
Fig. 1 (a) First aza-Michael addition (AZ1) of a primary amine on the β-carbon of the α,β-unsaturated carbonyl to form AMS, (b) second aza-Michael addition (AZ2) of a secondary amine on β-carbon of the α,β-unsaturated carbonyl leading to the formation of ADT and (c) structure and weight percentage of the different components in the formulation.

The formulation investigated in this paper consists in a mixture of 4,7,10-trioxa-1,13-tridecanediamine (N, 8.3 wt%, 220 g mol−1, from TCI), an ethoxylated trimethylolpropane triacrylate (TMP(EO)6TA, 30 wt%, 554 g mol−1, SR499, from Sartomer), an aliphatic urethane diacrylate (DUA, 22 wt%, 2200 g mol−1, CN981, from Sartomer) and 1-6-hexanedioldiacrylate (HDDA, 27 wt%, 226 g mol−1, from Sartomer). TMP(EO)6TA was used as flexible crosslinker and HDDA allows to increase the reactivity during 3D printing (Fig. 1c).

The molar ratio between amine and acrylate functions has an impact on the overall formulation reactivity and the beginning of AZ2. Therefore, a ratio of 1/7 of amine/acrylate functions was chosen for this study after optimization. Using this ratio, the amount of AMS species generated in the first step would induce a maximal consumption of 14% of the acrylate functions. Then, completion of all the AMS adducts would additionally consume a maximal of 14% of acrylate groups. Therefore, these two aza-Michael additions induce a maximal consumption of 28% of acrylate double bonds.

The reaction of the acrylate double bonds leads to the creation of new bonding between methylene and amine, on β-position of the carbonyl group of acrylates. This could be monitored by 1H-NMR measuring the appearance of new chemical shift between 2 and 3 ppm for both adducts resulting from AZ1 and AZ2, at δCH2–NH = δe2 = 2.87–2.81 ppm and δCH2–N = δe3 = 2.76–2.69 ppm, respectively (ESI Fig. S1 and Table S1).

The acrylate consumption during the aza-Michael addition was also estimated by Fourier transform infrared spectroscopy in attenuated total reflection mode (ATR-FTIR, see ESI). Changes in the generated and consumed species with time are reported in Fig. 2. Concerning AZ1, the reaction takes place during the first 120 minutes and levels off to a value of 16 ± 2% that is close to the theoretical value of 14%. During this period, the amount of acrylate groups consumed reaches the same value of 16 ± 2%. During this reaction time, the generated ADT does not react with the acrylate double bonds due to their steric hindrance.28,30–32 Focusing now on AZ2, it could be seen that the amount of AMS drastically decreases from 1 to 7 days. The generated secondary amines AMS further react with acrylate functions to form tertiary amines ADT: the amount of ADT increases progressively to a maximum value of 16 ± 2% after 7 days. The overall acrylate conversion through AZ1 and AZ2 reaches 26 ± 2%, confirming the almost total consumption of secondary amine. Interestingly, when AZ1 takes place, the viscosity of the formulation varies from 100 to 500 mPa s after 4 hours (ESI Fig. S2). The moderate change in viscosity after AZ1 and the important delay between AZ1 and AZ2 allows to introduce an intermediate photopolymerization step operated with a DLP printer.


image file: d2ra05404c-f2.tif
Fig. 2 Kinetics of acrylate consumption and generated species (AMS and ADT) during the two aza-Michael addition. The quantitative evaluation was achieved between 0 and 10[thin space (1/6-em)]000 minutes (7 days) by ATR-FTIR and 1H-NMR, respectively.

In order to photopolymerize the resin after AZ1 reaction, diphenyl(2,4,6-trimethylbenzoyl)phosphine oxide (TPO) was added as photoinitiator at a load content of 2.7 wt%. Rectangular objects (30 × 5 × 0.3 mm) were printed with an Asiga UV Max printer working at a curing wavelength of 385 nm and an irradiance of 9.8 mW cm−2 (details reported in ESI). After the printing step (noted ), samples were cleaned with ethanol and post-cured 2 min per side with a LED at 385 nm and an irradiation of 70 mW cm−2 (noted PC).

The conversion of acrylate double bonds (ConvC[double bond, length as m-dash]C) was estimated by ATR-FTIR with measurements on each side (details reported in ESI, Table S2). The overall process and the average of the ConvC[double bond, length as m-dash]C for each step are shown in Fig. 3.


image file: d2ra05404c-f3.tif
Fig. 3 Overall process implemented for the SMP generation including the first aza-Michael addition (AZ1), the 3D printing (), the post-curing (PC) and the second aza-Michael addition (AZ2). Acrylate conversion after each step are also reported.

Under irradiation, a fast conversion of acrylate double bonds is obtained and leads to an increase of the viscosity. Rapidly, the radicals and monomers are trapped into the vitrified medium and therefore, the ConvC[double bond, length as m-dash]C value levels off at 70%. Then, the additional post-curing step under LED at 385 nm and an irradiance of 70 mW cm−2 is driven upwards the ConvC[double bond, length as m-dash]C value to 75%. The aging of the material during 7 days induces an additional conversion increase of 15%, due to the completion of AZ2 reaction. This is in full agreement with the results obtained by 1H-NMR and FTIR-ATR on the system described in Fig. 2. The 14% of AMS generated during the AZ1 were consumed for the ADT generation. The occurring of AZ2 allows a total reaction between the AMS and the acrylate functions trapped in the vitrified medium. It could appear quite unusual to observe a dark reaction such as AZ2, taking place in a vitrified medium. Therefore, two different samples with (AZ1 + + PC + AZ2) and without (AZ1 + + PC) AZ2 completion were compared. The corresponding polymer network properties were measured by dynamic mechanical analysis (DMA). Results are gathered in Table 1. The details of the different parameters and the experimental conditions are reported in ESI. From these results, it turns out that AZ2 reaction leads to an increase of the glass transition temperature (Tg) and the rubber modulus (Er@110°C) as shown in Table 1. The molecular weights between entanglements (Me)33,34 were estimated from the rubbery modulus (Er) and the density of the polymer network (ρpolymer) as evaluated by pycnometry (details reported in ESI):

image file: d2ra05404c-t1.tif

Table 1 Characterization of the polymers obtained with and without AZ2 reaction from DMA (frequency of 1 Hz, amplitude of 20 μm and temperature range between −70 and 130 °C)a
Tg onset E′ (°C) Er@110°C (MPa) FWHM (°C) ρpolymer Me@110°C (g mol−1)
a 3D printed samples (30 × 5 × 0.3 mm) were irradiated at 385 nm with an irradiance of 9.8 mW cm−2, postcured 2 minutes at 70 mW cm−2 and evaluated after the post cure (sample noted (a) AZ1 + + PC) and after AZ2 (sample noted (b) AZ1 + + PC + AZ2).
−3 ± 2(a) 52 ± 4(a) 56 ± 2(a) 1.13(a) 207(a)
7 ± 2(b) 64 ± 4(b) 44 ± 1(b) 1.19(b) 178(b)


With Me = the molar height between entanglements (g mol−1), R = the molar gas constant (kPa L−1 mol−1 K−1), T = the temperature (K), ρpolymer = the density of the polymer formed (g mL−1), Er = the rubber modulus (MPa).

The completion of the aza-Michael reaction is confirmed by the increase in the polymer density and the decrease of Me. This densification leads to a homogenization of the network generated, as shown by the value of the full width half-maximum (FWHM) of the tan[thin space (1/6-em)]δ curve which decreases by 12 °C.

The mechanical properties of the printed object were studied by tensile tests at break by DMA. The evolution of the strain with a stress ramp of 0.5 MPa min−1 was recorded at 80 °C (on the rubbery plateau of the storage modulus curve), above the glass transition temperature and reported Fig. 4.


image file: d2ra05404c-f4.tif
Fig. 4 Stress–strain curves of the polymers obtained with a stress ramp of 0.5 MPa min−1 at 80 °C. 3D printed samples (30 × 5 × 0.3 mm) were irradiated at 385 nm with an irradiance of 9.8 mW cm−2, postcured 2 minutes at 70 mW cm−2 and evaluated after the post cure and after AZ2.

The 3D printed sample (AZ1 + + PC) exhibits a strain of 8.5% before break for a stress applied of 3.9 MPa. The Young modulus corresponding to the slope of this curve is of 56 MPa. After 7 days and the occurring of AZ2, the sample becomes slightly more brittle. A less important stress (3.7 MPa) induces its break and the elongation is limited to 7.6% with a Young modulus of 60 MPa.

Shape memory effect can be studied through the fixation and recovery properties of the material which could be measured during 8 thermocycling tensile tests in controlled stress.35,36 The description of the material solicitation by DMA is given in ESI. This thermomechanical test can be operated after post-curing and after AZ2 completion. Fig. 5 shows the result obtained for the printed material (AZ1 + + PC + AZ2). The material heated at 80 °C was stretched with a maximal stress of 3.7 MPa and a maximal deformation of 8%. Then it was cooled down at −50 °C, with a resulting strain of 6.9% at the end of the isotherm. The stress was released and the evolution of the behaviour of the material was recorded at this temperature until the stabilisation of the strain at 6.6%. The final step consisted in an increase of the temperature to 80 °C in order to recover the original step. The final strain was 2%.


image file: d2ra05404c-f5.tif
Fig. 5 Thermocycling tensile tests for the rectangular printed material (AZ1 + + PC + AZ2) between −50 °C and 80 °C.

The fixation ratio, Rf(N), and the recovery ratio, Rr(N), were determined from these experiments (Table 2). The first one describes the capacity of the material to be fixed in a temporally shape after cooling and successive thermomechanical tests. The second one, Rr(N), corresponds to the capacity of the material to reproduce an equivalent behaviour between each thermocycle.

Table 2 Evolution of Rf(N) and Rr(N) during 8 thermomechanical tensile tests in controlled stress between −50 and 80 °C for the printed objects. Equations to calculate Rf(N), and Rr(N) are reported in ESIa
Cycle (N) Rf(N)(a) (%) Rr(N)(a) (%) Rf(N)(b) (%) Rr(N)(b) (%)
a 3D printed samples (30 × 5 × 0.3 mm) were irradiated at 385 nm with an irradiance of 9.8 mW cm−2, postcured 2 minutes at 70 mW cm−2 and evaluated after the post cure (sample noted (a) AZ1 + + PC) and after AZ2 (sample noted (b) AZ1 + + PC + AZ2).
N = 1 95.5 95.5
N = 2 95.6 99.8 95.1 100.2
N = 3 95.5 99.8 95.2 100.0
N = 4 95.5 99.7 95.2 99.6
N = 5 95.6 99.7 95.2 100.4
N = 6 95.3 99.8 95.2 99.8
N = 7 96.0 100.0 95.3 100.0
N = 8 95.9 99.8 95.2 99.8


For the both materials, Rf(N) and Rr(N) are high and reproducible along the 8 thermocycles. These results show that the combination of aza-Michael reactions and photopolymerization is a relevant route to increase the homogeneity of the polymer network, thereby enhancing the SMP properties of a 3D printed object. Less internal stresses are stored into the material when it is stretched and cooled down. It results a high Rf(N) of 95%. The mobility of polymer chains during the heating phases is also increased. It contributes to a better material capacity to return to its original shape, which explains the Rr(N) of about 100%. Although AZ2 leads to an increase of the crosslink density (Table 1), both ratios are not decreased and remain in the same range. The presence of more crosslinks could account for the slightly lower Rf(N) values. Nevertheless, the Rr(N) is equivalent while the mobility of the chains is reduced. Finally, the homogenisation of the network resulting from the combination of the nucleophilic additions and the photopolymerization allows a more synchronized mobility of the chains upon heating which favours the recovery.

Even though the materials were solicited with variation of temperature during approximatively 9 hours during 8 cycles, almost no changes in the polymer network could be noticed. Therefore, the Rf(N) and Rr(N) remain constant during the thermomechanical tests.

To demonstrate the feasibility of the overall process and illustrate the shape memory properties of the printed materials, a snowflake with a dimension of 50 × 57 × 0.6 mm was fabricated by 3D printing and postcured under the same conditions than the rectangular objects. After 7 days, the material AZ1 + + PC + AZ2 was heated and stretched at 80 °C above the relaxation temperature (Tr) and cooled down maintaining the stress to obtain the temporary shape. Then, the snowflake was immersed in hot water (80 °C) to recover its original shape. Pictures of the initial, temporary and final shape are shown Fig. 6.


image file: d2ra05404c-f6.tif
Fig. 6 3D printed snowflake AZ1 + + PC + AZ2, (a and b) after 3D printing (@385 nm, 9.8 mW cm−2) and post-curing (@385 nm, 70 mW cm−2); (c and d) after deforming at 80 °C and cooling; (e and f) after immersion in water at 80 °C and recovery.

In conclusion, the combination of aza-Michael addition and radical photopolymerization has been considered to limit the crosslink density of the polymer network. It affords the in situ creation, at room temperature and without preliminary synthesis, of a branched poly(amino ester) prepolymer that is subsequently photopolymerized to achieve 3D objects printed by DLP and exhibiting a shape memory behaviour. The photosensitive resin containing a photoinitiator, primary amines and acrylates in excess has been thoroughly investigated by 1H-NMR and ATR-FTIR and the resulting polymer was characterized by DMA. The aza-Michael addition between secondary amines and residual unreacted acrylate functions trapped in the vitrified medium, enhances the polymer structure homogeneity and the resulting mechanical properties. AZ1 and AZ2 leads to a 3D printed material with high fixation and recovery ratios (95% and 100%, respectively). The high reproducible behaviour of the material during 8 thermocycles highlighted significant thermomechanical performances. This 3-step approach is of particular interest for the shape memory polymer fabricated in 3D printing by DLP.

Conflicts of interest

There are no conflicts to declare.

Notes and references

  1. Y. Zhou and W. M. Huang, Procedia IUTAM, 2015, 12, 83–92 CrossRef.
  2. H. Meng and G. Li, Polymer, 2013, 54, 2199–2221 CrossRef CAS.
  3. W. T. Nugroho, Y. Dong, A. Pramanik, J. Leng and S. Ramakrishna, Composites, Part B, 2021, 223, 109104 CrossRef CAS.
  4. K. A. Revathi, S. Rao, S. Srihari and G. N. Dayananda, J. Polym. Res., 2012, 19, 9894 CrossRef.
  5. L. Luo, F. Zhang and J. Leng, Compos. Sci. Technol., 2021, 213, 108899 CrossRef CAS.
  6. P. Bangan, Y. Yang, K. Gu, E. J. Amis and K. A. Cavicchi, ACS Mater. Lett., 2019, 1, 410–417 CrossRef.
  7. Y. Shi, G. Fang, Z. Cao, F. Shi, Q. Zhao, Z. Fang and T. Xie, Chem. Eng. J., 2021, 426, 131306 CrossRef CAS.
  8. H. Wu, P. Chen, C. Yan, C. Cai and Y. Shi, Mater. Des., 2019, 171, 107704 CrossRef.
  9. B. Zhang, H. Li, J. Cheng, H. Ye, A. H. Sakhaei, C. Yuan, P. Rao, Y.-F. Zhang, Z. Chen, R. Wang, X. He, J. Liu, R. Xiao, S. Qu and Q. Ge, Adv. Mater., 2021, 33, 2101298 CrossRef CAS PubMed.
  10. A. Cosola, M. Sangermano, D. Terenziani, R. Conti, M. Messori, H. Grützmacher, C. F. Pirri and A. Chiappone, Appl. Mater. Today, 2021, 23, 101060 CrossRef.
  11. J. Delaey, P. Dubruel and S. Van Vlierberghe, Adv. Funct. Mater., 2020, 30, 1909047 CrossRef CAS.
  12. M. Jahangiri, A. Eyvazzadeh, M. Rezaei and M. Bagheri, J. Polym. Res., 2019, 26, 136 CrossRef.
  13. C. Wischke, A. T. Neffe, S. Steuer and A. Lendlein, J. Controlled Release, 2009, 138, 243–250 CrossRef CAS.
  14. X. Wan, H. Wei, F. Zhang, Y. Liu and J. Leng, J. Appl. Polym. Sci., 2019, 136, 48177 CrossRef.
  15. O. Castillo-Cruz, F. Avilés, R. Vargas-Coronado, J. V. Cauich-Rodríguez, L. H. Chan-Chan, V. Sessini and L. Peponi, Mater. Sci. Eng., C, 2019, 102, 887–895 CrossRef CAS.
  16. K. Liu, J. Wu, G. H. Paulino and H. J. Qi, Sci. Rep., 2017, 7, 3511 CrossRef.
  17. M. Defossez, Mech. Res. Commun., 2003, 30, 311–316 CrossRef.
  18. F. Santos, A. Rodrigues and A. Micheletti, Smart Mater. Struct., 2015, 24, 105008 CrossRef.
  19. Z. He, Y. Shi, X. Feng, Z. Li, Y. Zhang, C. Dai, P. Wang and L. Zhao, Micromachines, 2021, 12, 833 CrossRef.
  20. M. N. I. Shiblee, K. Ahmed, M. Kawakami and H. Furukawa, Adv. Mater. Technol., 2019, 4, 1900071 CrossRef CAS.
  21. C. B. Cooper, S. Nikzad, H. Yan, Y. Ochiai, J.-C. Lai, Z. Yu, G. Chen, J. Kang and Z. Bao, ACS Cent. Sci., 2021, 7, 1657–1667 CrossRef CAS.
  22. G. Ehrmann and A. Ehrmann, J. Appl. Polym. Sci., 2021, 138, 50847 CrossRef CAS.
  23. K. B. Manning, N. Wyatt, L. Hughes, A. Cook, N. H. Giron, E. Martinez, C. G. Campbell and M. C. Celina, Macromol. Mater. Eng., 2019, 304, 1800511 CrossRef.
  24. C. Dall'Argine, A. Hochwallner, N. Klikovits, R. Liska, J. Stampf and M. Sangermano, Macromol. Mater. Eng., 2020, 305, 2000325 CrossRef.
  25. K. Wei, G. Zhu, Y. Tang, T. Liu and J. Xie, J. Mater. Res., 2013, 28, 2903–2910 CrossRef CAS.
  26. P. Kamarchik, Macromol. Symp., 2001, 175, 411–419 CrossRef CAS.
  27. M. Retailleau, A. Ibrahim, C. Croutxé-Barghorn and X. Allonas, Prog. Org. Coat., 2016, 100, 51–55 CrossRef CAS.
  28. M. Retailleau, A. Ibrahim, C. Croutxé-Barghorn, X. Allonas, C. Ley and D. Le Nouen, ACS Macro Lett., 2015, 4, 1327–1331 CrossRef CAS PubMed.
  29. M. Retailleau, A. Ibrahim, C. Croutxé-Barghorn and X. Allonas, RSC Adv., 2016, 6, 47130–47133 RSC.
  30. Y. Liu, D. Wu, Y. Ma, G. Tang, S. Wang, C. He, T. Chung and S. Goh, Chem. Commun., 2003, 2630–2631 RSC.
  31. D. Wu, Y. Liu, C. He, T. Chung and S. Goh, Macromolecules, 2004, 37, 6763–6770 CrossRef CAS.
  32. A. Genest, D. Portinha, E. Fleury and F. Ganachaud, Prog. Polym. Sci., 2017, 72, 61–110 CrossRef CAS.
  33. P. J. Flory, Polym. J., 1985, 17, 1–12 CrossRef CAS.
  34. L. W. Hill, Prog. Org. Coat., 1997, 31, 235–243 CrossRef CAS.
  35. W. Wagermaier, K. Kratz, M. Heuchel and A. Lendlein, in Shape-Memory Polymers, ed. A. Lendlein, Springer, Berlin, Heidelberg, 2010, pp. 97–145 Search PubMed.
  36. T. Sauter, M. Heuchel, K. Kratz and A. Lendlein, Polym. Rev., 2013, 53, 6–40 CrossRef CAS.

Footnote

Electronic supplementary information (ESI) available: Materials and methods used for this study. See DOI: https://doi.org/10.1039/d2ra05404c

This journal is © The Royal Society of Chemistry 2022
Click here to see how this site uses Cookies. View our privacy policy here.