Figure 1

Figure 2

Figure 3

Figure 4
![Local and global failure mechanism: a) Prandtl failure mechanism (Prandtl[33]), b) global failure mechanism (method of characteristics) for di/a = 12.22 and ρ = 15°, c) solution for the modified Coulomb condition, the method of characteristics grid for ρ = 10°, Sc/Sr = 5, d) determination of the upper limit: block compressed by flat stamps (modified condition)](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/6473788b4e662f30ba53f7de/j_sgem-2019-0029_fig_004.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKOOUFAOCM%2F20251220%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20251220T013713Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEO%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FwEaDGV1LWNlbnRyYWwtMSJGMEQCIGZKLc3vZHFmdmjhuZDDhokrOfzU0OyJlKJ3uXGYdk2jAiBmi8sq2TWp3a6uiqZ9a9aKXIVbAgZS%2BJ25wFHEEuozwirEBQi4%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F8BEAIaDDk2MzEzNDI4OTk0MCIMF%2BvP1UrCLVpOtx5oKpgFdVbjE6GKcbIYgxFSRDSDUt5gmWaBIJQrspThg7LeYDkOyTs%2BaH55aaWUWaW3IgU1EwiO2jan4lCVmKxWRc1EljaibVwDl%2Fp2xcXwwM%2BiEXxuvQdbu%2FdHWNVExg4gQOQ3y4oPKQHkG4roEyWRI9K%2FR4r1b4YJFZ6DtZGm7vpesEkBtEu3iSDKu3STWz5HWaCpB99XCpovf0kN1hsEyhXRoGp8UPwzw3GlyWiQ%2FoBiSEJJ2ELPcCKWZh0B71gbbVcH8RHzumjyV2HDXfLN4SNrzzmg8pZbd1IqGhopkizbuGxlZQ6QDk9ASqT0stxD106DO%2FEgdnwwWj%2F9OBF3R92U1bTK2gI2PeV1KYnMTQ%2B%2Fd8Dr1EAzqey5a9YRwMlSiK5Y5tuKzz%2F6dE5ay0n8lA13VQTqsa7JQ3GsXLPsNSW60oHC6lrfOsAcvYnJyh%2FKtyPtF2U1BnUlpC03yWmNkbEbSj9d9K3RqaWPaiB9G7H%2BX%2BS%2FwVni7PNMCu04Rldq1oR0hfA4bZJdlJMiwAPPrNMVB5%2BKynfzsOAfug8KVBJz0de8sSiEYb61yUGP%2FhTWZpYH0voNb3YCs4hfWoiI%2BYG9KPtTs7YJOYnLGgU%2FcMjAXVs%2FJGQSuPio6rd4YOR5cTBIiksUpVWEAG%2BoVt07enUP6VggWoZ8clR59UTwTQqVdmdNnfCJ0NxkNCfXxWbG4zyWU%2B%2FW4561WghKUB5VI1x02pAhde2gp0Lk4L7wFp7j04%2B2Bys0X4c%2F%2FsqBBYTCiWIfFKZBCbIWGKfCUQszYeeUANCEgz7B1sMPXeG7KWgVAnIfL6lnHZL%2BbDpbER6%2BF7W02Fdbw5gFv8%2BhvgHeDX4V0I7z1GPW8Nq%2BtgkWm8z24ol2kMuSQ6A5UTCJppfKBjqyAaL%2Fs09ueasdI0Y9P0RB%2BvzQLxZvjDsM0QRSi7zvvQ7Y%2BtDKRMwTTlbUWFtiCDtyYX5cHdG0eI82H43crK2rdgilCo%2BfsQAI5245ciSnh8B70WEdynjXWfoN8MCsoCAUUF9Ga4DyMjJQPQQpXQj4TJwGQ4Bg8iaHQm4Gk10kxPk%2FrGDpryVt65NnlIIXE%2FyLyXIqXK8HrovkP1V%2BiBsPiq%2Btb78zQaJHkc83zexAzXKFFv4%3D&X-Amz-Signature=93ac6f8030e1065fb7f1571616ecfb38ebac3a895a712ecec16d9e6dbc46b1fb&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
Figure 5

Figure 6

Figure 7

Figure 8

Figure 9

Figure 10

Figure 11

Figure 12

Figure 13

Figure 14

Figure 15

Crushing forces, crushing energy and technical performance
| Crushing plates type | Maximum crushing force | Average maximum crushing force | Average crushing force | Specific energy | Technical performance |
|---|---|---|---|---|---|
| Fpeak | Fav | Ls | Wt | ||
| [kN] | [kN] | [kN] | [kJ/kg] | [t/h] | |
| I | 262.80 | 138.76 | 45.72 | 3.07 | 2.13 |
| II | 234.39 | 64.84 | 16.69 | 3.71 | 0.38 |
| III | 229.89 | 62.74 | 17.01 | 3.59 | 0.40 |
| IV | 148.25 | 59.64 | 18.12 | 2.29 | 1.10 |
| V | 152.18 | 60.52 | 18.23 | 2.31 | 1.24 |
| VI | 127.03 | 60.24 | 18.70 | 2.14 | 0.82 |
Changes in crushing parameter values as a function of feed mass_ Maximum crushing force, specific energy, technical performance and crushing time_ Crushing of sandstone “Mucharz” between the flat plates
| Feed size | Mass | Specific energy | Maximum crushing force | Technical performance | Crushing time | Number of samples |
|---|---|---|---|---|---|---|
| D | m | Ls | Fpeak | Wt | tc | i |
| [mm] | [kg] | [kJ/kg] | [kN] | [t/h] | [s] | [-] |
| 90 | 2.01 | 2.71 | 202.14 | 1.71 | 4.23 | 12 |
| 90 | 3.44 | 2.83 | 221.81 | 1.79 | 6.93 | 11 |
| 90 | 3.92 | 2.9 | 231.93 | 1.84 | 7.69 | 11 |
| 90 | 4.78 | 3.02 | 261.98 | 1.93 | 8.9 | 12 |
| 90 | 6.2 | 3.1 | 269.94 | 2.07 | 10.8 | 11 |
| 90 | 7.37 | 3.07 | 262.80 | 2.13 | 12.44 | 12 |
| 90 | 10.2 | 3.12 | 265.43 | 2.14 | 17.13 | 11 |
| 90 | 20.5 | 3.11 | 267.32 | 2.12 | 34.81 | 11 |
Product grain size, degree of fineness
| Set | I | II | III | IV | V | VI |
|---|---|---|---|---|---|---|
| d80% | 12.19 | 12.88 | 13.83 | 13.85 | 13.87 | 13.62 |
| n80% | 7.38 | 6.99 | 6.51 | 6.50 | 6.49 | 6.61 |
Product particle size distribution for 6 sets of crushing plates
| Set | I | II | III | IV | V | VI |
|---|---|---|---|---|---|---|
| Fraction d [mm] | Residue on sieves, share of grain fraction fn [%] | |||||
| 31.5 < d | 1.13 | 0.81 | 3.35 | 4.75 | 6.11 | 3.13 |
| 16 < d ≤ 31.5 | 39.92 | 49.15 | 49.35 | 56.82 | 51.58 | 56.69 |
| 8 < d ≤ 16 | 29.92 | 22.46 | 21.98 | 20.12 | 22.66 | 17.21 |
| 4 < d ≤ 8 | 11.64 | 10.94 | 10.85 | 7.58 | 7.77 | 9.75 |
| 2 < d ≤ 4 | 5.14 | 5.23 | 4.00 | 3.37 | 3.27 | 4.01 |
| 1 < d ≤ 2 | 3.68 | 3.44 | 2.97 | 2.16 | 2.25 | 2.65 |
| 0.5 < d ≤ 1 | 2.35 | 1.91 | 2.21 | 1.27 | 1.71 | 1.57 |
| 0.25 < d ≤ 0.5 | 1.99 | 1.62 | 1.51 | 1.04 | 1.34 | 1.40 |
| 0.125 < d ≤ 0.25 | 2.18 | 1.61 | 1.62 | 0.99 | 1.39 | 1.44 |
| 0.063 < d ≤ 0.125 | 2.05 | 1.67 | 0.54 | 1.06 | 1.38 | 1.43 |
| d ≤ 0.063 | 0.66 | 1.17 | 1.62 | 0.84 | 0.54 | 0.73 |