This research aims at developing unglazed fired clay tiles by utilizing industrial wastes; rice husk ash (RHA), bagasse ash (BGA), calcium carbonate (CC), and fly ash (FA). Brown glass cullet (BGC) has been mixed with these waste materials for reducing firing temperature. In addition, local clay is also used for facilitating specimens' plasticity. Work pieces are molded by uniaxial pressing at 100 bars with dimensions 50 × 100 × 7 mm and fired at 850 and 950 ℃. Formulation mixtures of the experiment are divided into 4 groups. Calcium carbonate (CC), residue from sugar mill plant mixing with local materials, LBC and LWC (Local ball clay and local white clay) have been utilized in group 1. After testing the physical properties of fired specimens, a high bending strength of formula in group 1 has been selected. It is further employed as the basic formula of the next three groups by mixing RHA, BGA, and FA, respectively. The results found that the optimal ratios containing 5% RHA, 5–10% BGA, and 5% FA of group 2, 3, and 4 which fired at 950 ℃ can achieve Thai Industrial Standard (TIS 2508-2555 type BIII) in terms of bending strength and water absorption. Clarifying the color of selected formulas is determined by CIELAB color coordinate. In addition, analyzing the microstructure of selected specimens by scanning electron microscopy (SEM) and X-ray diffraction (XRD) has been conducted. Glassy phase and wollastonite crystal are found in the specimens providing high bending strength.
Citation: Witsanu Loetchantharangkun, Ubolrat Wangrakdiskul. Combination of rice husk ash, bagasse ash, and calcium carbonate for developing unglazed fired clay tile[J]. AIMS Materials Science, 2021, 8(3): 434-452. doi: 10.3934/matersci.2021027
[1] | Natthakitta Piyarat, Ubolrat Wangrakdiskul, Purinut Maingam . Investigations of the influence of various industrial waste materials containing rice husk ash, waste glass, and sediment soil for eco-friendly production of non-fired tiles. AIMS Materials Science, 2021, 8(3): 469-485. doi: 10.3934/matersci.2021029 |
[2] | Purinut Maingam, Ubolrat Wangrakdiskul, Natthakitta Piyarat . Potential of alternative waste materials: rice husk ash and waste glass cullet with boric acid addition for low-fired unglazed tiles. AIMS Materials Science, 2021, 8(2): 283-300. doi: 10.3934/matersci.2021019 |
[3] | Reginald Umunakwe, Ifeoma Janefrances Umunakwe, Uzoma Samuel Nwigwe, Wilson Uzochukwu Eze, Akinlabi Oyetunji . Review on properties of hybrid aluminum–ceramics/fly ash composites. AIMS Materials Science, 2020, 7(6): 859-870. doi: 10.3934/matersci.2020.6.859 |
[4] | Olatunji P Abolusoro, Moshibudi Caroline Khoathane, Washington Washington . Mechanical and microstructural characteristics of recycled aluminium matrix reinforced with rice husk ash. AIMS Materials Science, 2024, 11(5): 918-934. doi: 10.3934/matersci.2024044 |
[5] | Ketut Aswatama Wiswamitra, Sri Murni Dewi, Moch. Agus Choiron, Ari Wibowo . Heat resistance of lightweight concrete with plastic aggregate from PET (polyethylene terephthalate)-mineral filler. AIMS Materials Science, 2021, 8(1): 99-118. doi: 10.3934/matersci.2021007 |
[6] | M. Kanta Rao, Ch. N. Satish Kumar . Influence of fly ash on hydration compounds of high-volume fly ash concrete. AIMS Materials Science, 2021, 8(2): 301-320. doi: 10.3934/matersci.2021020 |
[7] | Budhi Muliawan Suyitno, Dwi Rahmalina, Reza Abdu Rahman . Increasing the charge/discharge rate for phase-change materials by forming hybrid composite paraffin/ash for an effective thermal energy storage system. AIMS Materials Science, 2023, 10(1): 70-85. doi: 10.3934/matersci.2023005 |
[8] | Diana. M. Ayala Valderrama, Jairo A. Gómez Cuaspud, Leonel Paredes-Madrid . Physical analysis and production-mechanics of glass-ceramic prototypes made by sintering cold-compacted powder samples (10% slag, 70% fly ash and 20% glass cullet). AIMS Materials Science, 2021, 8(4): 538-549. doi: 10.3934/matersci.2021033 |
[9] | Mahmoud A. Rabah, Mohamed B. El Anadolly, Rabab A. El Shereif, Mohamed Sh. Atrees, Hayat M. El Agamy . Preparation of valuable products from cleaned carbon of fuel ash. AIMS Materials Science, 2017, 4(5): 1186-1201. doi: 10.3934/matersci.2017.5.1186 |
[10] | Kong Fah Tee, Sayedali Mostofizadeh . Numerical and experimental investigation of concrete with various dosages of fly ash. AIMS Materials Science, 2021, 8(4): 587-607. doi: 10.3934/matersci.2021036 |
This research aims at developing unglazed fired clay tiles by utilizing industrial wastes; rice husk ash (RHA), bagasse ash (BGA), calcium carbonate (CC), and fly ash (FA). Brown glass cullet (BGC) has been mixed with these waste materials for reducing firing temperature. In addition, local clay is also used for facilitating specimens' plasticity. Work pieces are molded by uniaxial pressing at 100 bars with dimensions 50 × 100 × 7 mm and fired at 850 and 950 ℃. Formulation mixtures of the experiment are divided into 4 groups. Calcium carbonate (CC), residue from sugar mill plant mixing with local materials, LBC and LWC (Local ball clay and local white clay) have been utilized in group 1. After testing the physical properties of fired specimens, a high bending strength of formula in group 1 has been selected. It is further employed as the basic formula of the next three groups by mixing RHA, BGA, and FA, respectively. The results found that the optimal ratios containing 5% RHA, 5–10% BGA, and 5% FA of group 2, 3, and 4 which fired at 950 ℃ can achieve Thai Industrial Standard (TIS 2508-2555 type BIII) in terms of bending strength and water absorption. Clarifying the color of selected formulas is determined by CIELAB color coordinate. In addition, analyzing the microstructure of selected specimens by scanning electron microscopy (SEM) and X-ray diffraction (XRD) has been conducted. Glassy phase and wollastonite crystal are found in the specimens providing high bending strength.
In the field of algebraic graph theory, the study of graph representations according to their algebraic structures is a popular and interesting research topic. For example, a well-known graph representation from the algebraic structure group is the Cayley graph, which has a long history of research. On the other hand, graph representations of some algebraic structures have been actively studied in the literature, because of some valuable applications [1,2].
One can define a special graph on a group, such as, power graph [3] and commuting graph [4]. Considering the order of an element in a group is one of the most basic and important concepts in group theory, we may define a graph over a group using its element order. Given a finite group G, the coprime graph of G, denoted by Γ(G), is the undirected graph with vertex set G, and two distinct x,y∈G are adjacent if and only if o(x) and o(y) are relatively prime, namely, (o(x),o(y))=1, where o(x) and o(y) are the orders of x and y, respectively. In 2014, the authors [5] introduced the concept of a coprime graph of a group. Afterwards, Dorbidi [6] proved that for every finite group G, the clique number of Γ(G) is equal to the chromatic number of Γ(G), namely, Γ(G) is a weakly perfect graph. Also, Dorbidi [6] classified such finite groups whose coprime graph is a complete r-partite graph. In 2017, Selvakumar and Subajini [7] obtained all finite groups G such that Γ(G) is toroidal. In 2021, Hamm and Way [8] determined the independence number of the coprime graph on a dihedral group, and they also studied this question: which coprime graphs are perfect? Alraqad et al. [9] classified the finite groups whose coprime graph has exactly three end-vertices.
Every graph considered in our paper is undirected without loops and multiple edges. Let Γ and Δ be two graphs. If Γ contains no induced subgraph isomorphic to Δ, then Γ is called a Δ-free graph. This is equivalent to saying that Δ is a forbidden subgraph of Γ. Three independent vertices of a graph form an asteroidal triple if every two of them are connected by a path avoiding the neighborhood of the third one. A simple graph is called asteroidal triple-free (AT-free, for short) if it contains no asteroidal triple [10]. The AT-free graphs provide a common generalization of interval, permutation, trapezoid, and cocomparability graphs. In [10], Lekkerkerker and Boland demonstrated the importance of asteroidal triples in the theorem: a graph is an interval graph if and only if it is chordal and AT-free. Thus, it appears that the condition of being AT-free prohibits a chordal graph from growing in three directions at once. Later, Golumbic et al. [11] showed that cocomparability graphs (and, thus, permutation and trapezoid graphs) are also AT-free. In [12], Swathi and Sunitha studied the finite groups whose co-prime graphs are C4-free, claw-free, cographs, split-graphs, and AT-free. Also, they proposed the following question.
Question 1.1. ([12]) Find a characterization for the finite groups whose coprime graphs are AT-free.
The purpose of this paper is to give a characterization of the finite groups whose coprime graphs are AT-free (see Theorem 2.3). This gives an answer to Question 1.1. As applications, we classify the finite groups G such that Γ(G) is AT-free if G is a nilpotent group (see Corollary 2.5), a symmetric group (see Proposition 2.7), an alternating group (see Proposition 2.7), a direct product of two non-trivial groups (see Proposition 2.8), or a sporadic simple group (see Proposition 2.10).
This section will prove our main results. Every group considered in this paper is finite. For convenience, we always assume that G is a finite group with the identity e. Denote by πe(G) and π(G) the set of orders of elements of G and the set of prime divisors of |G|, respectively. As usual, denote by Zn the cyclic group having order n. Given a graph, say Γ, denote by V(Γ) and E(Γ) the vertex set and edge set of Γ, respectively. If {x,y}∈E(Γ), then we also denote this by x−y. In a graph, we use x1−x2−⋯−xn to denote a path of length n. The neighborhood of a vertex x in Γ, denoted by N(x), is the set {v∈V(Γ):v−x}.
We first give two results before giving the proof of our main theorem.
Observation 2.1. (1) Suppose that {p1p2,p1p3,p1p4}⊆πe(G), where p1,p2,p3,p4 are pairwise distinct primes. Let a,b,c∈G with o(a)=p1p2, o(b)=p1p3, and o(c)=p1p4. Then a−cp1−b is a path such that N(c)∩{a,cp1,b}=∅, a−bp1−c is a path such that N(b)∩{a,bp1,c}=∅, and b−ap1−c is a path such that N(a)∩{b,ap1,c}=∅. As a result, {a,b,c} is an AT in Γ(G).
(2) Suppose that {p1p2,p1p3,p2p3}⊆πe(G), where p1,p2,p3 are pairwise distinct primes. Let a,b,c∈G with o(a)=p1p2, o(b)=p1p3, and o(c)=p2p3. Then a−cp2−cp3−b is a path such that N(c)∩{a,cp2,cp3,b}=∅, a−bp1−bp3−c is a path such that N(b)∩{a,bp1,bp3,c}=∅, and b−ap1−ap2−c is a path such that N(a)∩{b,ap1,ap2,c}=∅. As a result, {a,b,c} is an AT in Γ(G).
Lemma 2.2. ([12]) Let x,y∈G. Then π(⟨x⟩)⊆π(⟨y⟩) if and only if N(y)⊆N(x) in Γ(G).
Theorem 2.3. Let G be a finite group. Then Γ(G) is AT-free if and only if neither {p1p2,p1p3,p1p4} nor {p1p2,p1p3,p2p3} is a subset of πe(G) where p1,p2,p3,p4 are pairwise distinct primes.
Proof. The necessity follows trivially from Observation 2.1. We next prove the sufficiency. Suppose that neither {p1p2,p1p3,p1p4} nor {p1p2,p1p3,p2p3} is a subset of πe(G); here p1,p2,p3,p4 are pairwise distinct primes. Then it is clear that πe(G) has no element, which is a product of three pairwise distinct primes. Assume, to the contrary, that Γ(G) has an AT, say {x1,x2,x3}. If π(⟨xi⟩)⊆π(⟨xj⟩) for two distinct i,j∈{1,2,3} and t∈{1,2,3}∖{i,j}, then by Lemma 2.2, we have that every path from xj to xt must contain at least one vertex in N(xi); this contradicts that {x1,x2,x3} is an AT. It follows that π(⟨xi⟩)⊈π(⟨xj⟩) for each two distinct i,j∈{1,2,3}. Since {x1,x2,x3} is an independent set of Γ(G), it follows that for any i∈{1,2,3}, o(xi) is not a prime power. As a result, |π(⟨xi⟩)|=2 for any i∈{1,2,3}.
Now let π(⟨x1⟩)={p1,p2} where p1 and p2 are distinct primes. Note that (o(x1),o(x2))≠1. We may assume that π(⟨x2⟩)={pi,p3}, where i=1 or 2 and p3 is a prime, which is different from p1 and p2. Similarly, we also can conclude that π(⟨x3⟩)={pj,p4}, where j=1 or 2 and p4 is a prime, which is different from p1 and p2. If p3=p4, then i≠j, and so {p1p2,p1p3,p2p3}⊆πe(G), a contradiction. Now assume that p3≠p4. Since (o(x2),o(x3))≠1, it must be that i=j. It follows that either {p1p2,p1p3,p1p4}⊆πe(G) or {p1p2,p2p3,p2p4}⊆πe(G), which is impossible. Consequently, Γ(G) is AT-free. The proof is now complete.
Corollary 2.4. (1) If |π(G)|≤2, then Γ(G) is AT-free; (2) Let π(G)={p1,p2,p3}. Then Γ(G) is AT-free if and only if {p1p2,p1p3,p2p3}⊈πe(G); (3) If Γ(G) is AT-free and |π(G)|≥4, then Z(G)={e}.
Recall that a finite group is nilpotent if and only if it is the direct product of its Sylow subgroups. In particular, in a finite nilpotent group, two elements a,b with (o(a),o(b))=1 must commute. Thus, if G is a nilpotent group such that π(G)={p1,p2,p3} for different primes p1,p2,p3, then G has elements of order p1p2p3. The following result classifies all nilpotent groups whose coprime graphs are AT-free.
Corollary 2.5. Let G be a nilpotent group. Then Γ(G) is AT-free if and only if G=P×Q, where P and Q are respectively a p-group and a q-group for distinct primes p and q.
Clearly, for any subgroup H of G, Γ(H) is an induced subgraph of Γ(G). Thus, we have the following result.
Observation 2.6. If Γ(G) is AT-free, then Γ(H) is also AT-free for any subgroup H of G.
The symmetric group of order n!, denoted by Sn, is the group consisting of all permutations on n objects. As we know, the symmetric group is important in many different areas of mathematics, including combinatorics and group theory, since every finite group is a subgroup of some symmetric group. In Sn, the set of all even permutations is a group, which is called the alternating group on n objects and is denoted by An. Note that An is a simple group for any n≥5.
Proposition 2.7. For symmetric groups and alternating groups, we have the following:
(1) The graph Γ(Sn) is AT-free if and only if n≤7;
(2) The graph Γ(An) is AT-free if and only if n≤8.
Proof. (1) We first prove that Γ(S8) is not an AT-free graph. Note that the facts that o((1,2)(3,4,5))=6, o((1,2)(3,4,5,6,7))=10, and o((1,2,3)(4,5,6,7,8))=15. As a consequence, we have that {6,10,15}⊆πe(S8), and so by Theorem 2.3, Γ(S8) is not AT-free, as desired. Now by Observation 2.6, it suffices to prove that Γ(S7) is AT-free. Note that πe(S7)={1,2,3,4,5,6,7,10,12}. Since S7 has no elements of order 15, it follows from Theorem 2.3 that Γ(S7) is AT-free, as desired.
(2) We first prove that Γ(A9) is not an AT-free graph. Note that the facts that o((1,2)(3,4,5)(6,7))=6, o((1,2)(3,4,5,6,7)(8,9))=10, and o((1,2,3)(4,5,6,7,8))=15. Thus, we have that {6,10,15}⊆πe(A9), which implies that Γ(A9) is not AT-free by Theorem 2.3, as desired. Now in view of Observation 2.6, it suffices to prove that Γ(A8) is AT-free. It is easy to check that πe(A8)={1,2,3,4,5,6,7,15}, so πe(A8) has only two elements that are not prime powers. By Theorem 2.3, we have that Γ(A8) is AT-free, as desired.
Given a finite group G, if any non-trivial element of G is of prime power order, then G is a CP-group [13]. For example, for a prime p, any p-group is also a CP-group. Also, both the symmetric group on four letters and the alternating group of degree five are CP-groups. Given two non-trivial groups H and K, for which the direct product H×K is the coprime graph an AT-free graph? Next, we will characterize the direct products H×K whose coprime graph is AT-free.
Proposition 2.8. Let H and K be two non-trivial groups. Then Γ(H×K) is AT-free if and only if one of the following holds:
(a) π(H)=π(K)={p,q}, where p,q are distinct primes;
(b) Both H and K are CP-groups with π(H)={p,q}, π(K)={r,s}, where p,q,r,s are pairwise distinct primes;
(c) One of H and K is a p-group; without loss of generality, let π(H)={p}. Also, π(K)⊆{p,q,r} and qr∉πe(K), where p,q,r are pairwise distinct primes.
Proof. If (a) occurs, then Corollary 2.4 (1) implies that Γ(H×K) is AT-free. If (b) occurs, then by Theorem 2.3, it is easy to see that Γ(H×K) is AT-free. Now consider (c). If π(K)⊆{p,r} or {p,q}, then Corollary 2.4 (1) also implies the desired result. Now suppose that qr∉πe(K), and π(K)={p,q,r} or {q,r}. Then π(H×K)={p,q,r}. If x∈H×K and o(x) is not a prime power, then π(⟨x⟩)={p,q} or {p,r}. Hence, by Corollary 2.4 (2), we have that Γ(H×K) is AT-free.
Conversely, suppose that Γ(H×K) is AT-free. We next consider two cases.
Case 1. Neither H nor K is a p-group for some prime p.
We next prove that one of (a) and (b) holds. Firstly, by Theorem 2.3 and the fact that K is not trivial, it is easy to see that π(H) has at most 3 pairwise prime divisors. Assume now that π(H)⊆{p,q,r} for pairwise distinct primes p,q,r. We next consider two subcases.
Subcase 1.1. π(H)={p,q,r}.
Then π(K)⊆{p,q,r}; otherwise, the case in Observation 2.1 (2) occurs, and so Γ(H×K) is not AT-free, a contradiction. It follows that there exist at least two distinct prime divisors in π(K). Without loss of generality, suppose that {p,q}⊆π(K). Then it must be that pq,pr,qr∈πe(H×K). It follows from Theorem 2.3 that Γ(H×K) is not AT-free, a contradiction.
Subcase 1.2. |π(H)|=2, and without loss of generality, let π(H)={p,q}.
Suppose that there exists one prime divisor in π(H)∩π(K), say p. If there exists r∈π(K)∖{p,q}, then pq,rp,rq∈πe(H×K), which is impossible as per Theorem 2.3. It follows that π(K)⊆{p,q}. Since K is not a p-group, we must have {p,q}=π(K), and so (a) occurs.
Suppose now that π(H)∩π(K)=∅. By Theorem 2.3, we clearly have |π(K)|≤2. As a result, we can conclude that |π(K)|=2 since K is not a primary group. Also, Theorem 2.3 implies that any of H and K can not have elements whose order is the product of two distinct primes. Hence, both H and K are CP-groups, and so (b) holds.
Case 2. One of H and K is a p-group; without loss of generality, let π(H)={p}.
In this case, we prove that (c) holds. Clearly, π(K)∖{p} has no three pairwise distinct primes. It follows that π(K)⊆{p,q,r}, where p,q,r are pairwise distinct primes. It suffices to show that qr∉πe(K). If qr∈πe(K), then {q,r}⊆π(K), and so pq,pr,qr∈πe(H×K), which is a contradiction by Theorem 2.3. Thus, we obtain qr∉πe(K), and so (c) holds.
By Proposition 2.8, we have the following examples.
Example 2.9. The graph Γ(G) is not AT-free if G is isomorphic to one of the following:
S3×A5,D6×D10,A5×D10,S4×L3(2),S5×L3(2),Z2×Sz(8). |
Theorem 2.10. Let G be a sporadic simple group. Then Γ(G) is AT-free if and only if G is isomorphic to one of the following Mathieu groups:
M11,M12,M22,M23. |
Proof. It is well known that there are precisely 26 sporadic simple groups. We first consider Mathieu groups. For M11, we have that πe(M11)={1,2,3,4,5,6,8,11}, and so it is clear that Γ(M11) is AT-free by Theorem 2.3. For M12, one has πe(M12)={1,2,3,4,5,6,8,10,11}, and so Γ(M12) is AT-free by Theorem 2.3. For M22, we have πe(M22)={1,2,3,4,5,6,7,8,11}, and similarly, Γ(M22) is AT-free. For M23, we have πe(M23)={1,2,3,4,5,6,7,8,11,14,15,23}, and similarly, Γ(M23) is AT-free. Note that both M23 and M12 are subgroups of M24 by the ATLAS of finite groups [14]. Hence, we have that 6,10,15∈πe(M24), and so Γ(M24) is not AT-free by Theorem 2.3.
By [14], it follows that Janko group J1, Janko group J2, Janko group J4, Held group He, Harada-Norton group HN, Thompson group Th, Baby Monster group B, Monster group M, O'Nan group O′N, Lyons group Ly, Rudvalis group Ru, Suzuki group Suz, Fischer group Fi22, and Higman-Sims group HS contain D6×D10, A5×D10, M24, S4×L3(2), A12, A9, S5×L3(2), A12, J1, A11, Z2×Z2×Sz(8), S3×A5, S10, and S8 as subgroups, respectively. By Example 2.9 and Proposition 2.7, we see that the above simple groups do not have AT-free coprime graphs.
Now, note that {6,10,15}∈πe(Mcl)∩πe(J3), and so both Γ(Mcl) and Γ(J3) are not AT-free by Theorem 2.3. Now every of Fi23 and Fi′24 contains Fi22 as a subgroup, which implies that the coprime graphs of these two groups are not AT-free. Finally, note that the fact that for each 1≤i≤3, the Conway group Coi has a subgroup isomorphic to McL [14]. As a consequence, Γ(Coi) is not AT-free for each 1≤i≤3.
The study of graphical representations of algebraic structures, especially groups, has been an energizing and fascinating research area originating from the Cayley graphs. The coprime graph Γ(G) of a finite G is a fairly recent development in the realm of graphs from groups. In this paper, "Forbidden subgraphs of co-prime graphs of finite groups", the authors raised the following question: what is a characterization for the finite groups whose coprime graphs are AT-free? For the above question, in this paper we give a characterization of the finite groups whose coprime graphs are AT-free. As applications, we also classify all finite groups G such that Γ(G) is AT-free if G is a nilpotent group, a symmetric group, an alternating group, a direct product of two non-trivial groups, or a sporadic simple group.
The authors declare they have not used Artificial Intelligence (AI) tools in the creation of this article.
The second author was supported by the Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant No. 22JSQ024).
The authors declare there is no conflicts of interest.
[1] | Modi V, Bhardwaj A, Choudhary R, et al. (2016) Preparation & characterization of vitrified tiles using rice husk ash & glass cullet. JETIR 3: 394-300. |
[2] | Agricultural Statistics of Thailand. Office of Agricultural Economics, 2019. Available from: http://www.oae.go.th/assets/portals/1/files/jounal/2563/yearbook62edit.pdf. |
[3] | Factory information. Department of Industrial Works, 2020. Available from: http://userdb.diw.go.th/results1.asp. |
[4] | Choojit S (2020) Isolation of Actinomycetes and xylanase production by using sugarcane bagasse as a carbon source. STIJ 1: 13-21. |
[5] | Department of Alternative Energy Development and Efficiency. Ministry of Energy, 2020. Available from: https://www.dede.go.th/ewt_news.php?nid=41810. |
[6] | Thailand State of Pollution Report 2017. Pollution Control Department, 2017. Available from: https://www.pcd.go.th/publication/4175/. |
[7] |
Saleem MA, Kazmi SMS, Abbas S, et al. (2017) Clay bricks prepared with sugarcane bagasse and rice husk ash—A sustainable solution. MATEC Web of Conferences, 120: 03001. doi: 10.1051/matecconf/201712003001
![]() |
[8] |
Schettino MAS, Holanda JNF (2015) Characterization of sugarcane bagasse ash waste for its use in ceramic floor tile. Procedia Mater Sci 8: 190-196. doi: 10.1016/j.mspro.2015.04.063
![]() |
[9] |
Schettino MA, Holanda JN (2015) Processing of porcelain stoneware tile using sugarcane bagasse ash waste. Process Appl Ceram 9: 17-22. doi: 10.2298/PAC1501017S
![]() |
[10] | Phonphuak N, Chindaprasirt P (2018) Utilization of sugarcane bagasse ash to improve properties of fired clay brick. Chiang Mai J Sci 45: 1855-1862. |
[11] | Kim BH, Kang BA, Yun YH, et al. (2004) Chemical durability of β-wollastonite-reinforced glass-ceramics prepared from waste fluorescent glass and calcium carbonate. Mater Sci-Pol 22: 83-91. |
[12] |
Serra MF, Picicco M, Moyas E, et al. (2012) Talc, spodumene and calcium carbonate effect as secondary fluxes in triaxial ceramic properties. Procedia Mater Sci 1: 397-402. doi: 10.1016/j.mspro.2012.06.053
![]() |
[13] | Lira C, Fredel MC, da Silveira MD, et al. (1998) Effect of carbonates on firing shrinkage and on moisture expansion of porous ceramic tiles. V World Congress on Ceramic Tile Quality-Qualicer, 98: 101-106. |
[14] |
Sobrosa FZ, Stochero, NP, Marangon E, et al. (2017) Development of refractory ceramics from residual silica derived from rice husk ash. Ceram Int 43: 7142-7146. doi: 10.1016/j.ceramint.2017.02.147
![]() |
[15] | Abeid S, Park, SE (2018) Suitability of vermiculite and rice husk ash as raw materials for production of ceramic tiles. Int J Mater Sci Appl 7: 39-45. |
[16] |
Muhamad K, Zainol NZ, Yahya N, et al. (2020) Influence of rice husk ash (RHA) on performance of green concrete roof tile in application of green building. IOP Conference Series Earth and Environmental Science, 476: 012038. doi: 10.1088/1755-1315/476/1/012038
![]() |
[17] | Jamo HU, Auwalu IA, Mahmoud BA, et al. (2019). Modulus of rupture (MOR) of porcelain by substitution of quartz with rice husk ash (RHA) and palm oil fuel ash (POFA) at different temperatures. Sci World J 14: 16-19. |
[18] | More AS, Tarade A, Anant A (2014) Assessment of suitability of fly ash and rice husk ash burnt clay bricks. IJSRP 4: 1-6. |
[19] |
Castellanos AG, Mawson H, Burke V, et al. (2017) Fly-ash cenosphere/clay blended composites for impact resistant tiles. Constr Build Mater 156: 307-313. doi: 10.1016/j.conbuildmat.2017.08.151
![]() |
[20] |
Ponce Peña P, González Lozano MA, Rodríguez Pulido A, et al. (2016) Effect of crushed glass cullet sizes on physical and mechanical properties of red clay bricks. Adv Mater Sci Eng 2016: 2842969. doi: 10.1155/2016/2842969
![]() |
[21] |
Karayannis V, Moutsatsou A, Domopoulou A, et al. (2017) Fired ceramics 100% from lignite fly ash and waste glass cullet mixtures. J Build Eng 14: 1-6. doi: 10.1016/j.jobe.2017.09.006
![]() |
[22] |
Chidiac SE, Federico LM (2007) Effects of waste glass additions on the properties and durability of fired clay brick. Can J Civil Eng 34: 1458-1466. doi: 10.1139/L07-120
![]() |
[23] |
Demir I (2009) Reuse of waste glass in building brick production. Waste Manage Res 27: 572-577. doi: 10.1177/0734242X08096528
![]() |
[24] | Wangrakdiskul U, Loetchantharangkun W (2019) Utilizing green glass cullet, local ball clay and white clay for producing light greenish brown color wall tile. EJEST 2: 23-30. |
[25] | Thai Industrial Standard 2508-2555. Ministry of Industry, 2012. Available from: http://www.ratchakitcha.soc.go.th/DATA/PDF/2555/E/093/11.PDF. |
[26] |
Bragança SR, Bergmann CP (2005) Waste glass in porcelain. Mater Res 8: 39-44. doi: 10.1590/S1516-14392005000100008
![]() |
[27] |
Maingam P, Wangrakdiskul U, Piyarat N (2021) Potential of alternative waste materials: rice husk ash and waste glass cullet with boric acid addition for low-fired unglazed tiles. AIMS Mater Sci 8: 283-300. doi: 10.3934/matersci.2021019
![]() |
[28] |
Wangrakdiskul U, Maingam P, Piyarat N (2020) Eco-friendly fired clay tiles with greenish and greyish colored incorporating alternative recycled waste materials. Key Eng Mater 856: 376-383. doi: 10.4028/www.scientific.net/KEM.856.376
![]() |
[29] |
Phonphuak N, Kanyakam S, Chindaprasirt P (2016) Utilization of waste glass to enhance physical-mechanical properties of fired clay brick. J Clean Prod 112: 3057-3062. doi: 10.1016/j.jclepro.2015.10.084
![]() |
[30] |
Liu J, Li Y, Li Y, et al. (2016) Effects of pore structure on thermal conductivity and strength of alumina porous ceramics using carbon black as pore-forming agent. Ceram Int 42: 8221-8228. doi: 10.1016/j.ceramint.2016.02.032
![]() |
[31] |
Nogueira AD, Della Bona A (2013) The effect of a coupling medium on color and translucency of CAD-CAM ceramics. J Dent 41: e18-e23. doi: 10.1016/j.jdent.2013.02.005
![]() |
[32] | Hariharan V, Shanmugam M, Amutha K, et al. (2014) Preparation and characterization of ceramic products using sugarcane bagasse ash waste. Res J Recent Sci 3: 2277-2502. |
1. | Nathan Felipe da Silva Caldana, Pablo Ricardo Nitsche, Alan Carlos Martelócio, Anderson Paulo Rudke, Geovanna Cristina Zaro, Luiz Gustavo Batista Ferreira, Paulo Vicente Contador Zaccheo, Sergio Luiz Colucci de Carvalho, Jorge Alberto Martins, Agroclimatic Risk Zoning of Avocado (Persea americana) in the Hydrographic Basin of Paraná River III, Brazil, 2019, 9, 2077-0472, 263, 10.3390/agriculture9120263 |