Analytic Hierarchy Process–Based Evaluation and Experimental Assessment of the Optimal Interlocking Compressed Earth Block Geometry for Seismic Applications
Abstract
1. Introduction
2. Research Methodology
2.1. Research Framework
2.2. Case Study
2.3. Evaluation Criteria
2.3.1. Size of ICEB
2.3.2. Weight of ICEB
2.3.3. Interlocking Capability of ICEB
2.3.4. Reinforcement and Grout Feature of ICEB
2.3.5. Ergonomics of ICEB
2.4. Scope and Rationale of Selected Criteria
3. AHP Framework
3.1. Decision Hierarchy
3.2. Expert Judgments and Pairwise Comparison
3.3. Consistency and Consensus Checks
3.4. Sensitivity Analysis
4. Results
4.1. Criterion Prioritization
4.2. Ranking of Alternative Geometries
4.3. Sensitivity and Robustness Assessment
4.4. Implications for Design and Practice
4.5. Experimental Performance Evaluation of Selected Geometry
5. Conclusions
- A manageable weight and grout/reinforcement were the main factors that determined whether the ICEB system was suitable for seismic and labor-intensive sites. The balance between constructability and structural adaptability was achieved primarily through the arrangement of lightweight, double-cavity interconnecting units. The sensitivity analysis, which supported the expert consensus, verified that this ranking remained stable under large modifications.
- Analytical results were verified through full-scale cyclic testing. The initial rigidity of the grouted double-wythe ICEB wall was lower than that of mortar-bonded brickwork, but it exhibited more robust ductility, energy dissipation, and residual strength. The analytical discovery that earthen masonry seismic resistance is contingent upon groutability and reinforcing has been verified by this performance data.
- The outcomes of the decision-making process and experimental observations suggest that ICEB systems, when effectively designed for local production and enhanced construction, can function as a technically and environmentally feasible alternative to fired-brick masonry in seismic areas. With the help of the suggested AHP framework, designers, practitioners, and policymakers can systematically incorporate expert judgment into the early stages of design to identify the best possible geometries before undertaking significant experimentation.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| AHP | Analytic Hierarchy Process |
| AIJ | Aggregation of Individual Judgments |
| CEB | Compressed Earth Block |
| CR | Consistency Ratio |
| CI | Consistency Index |
| ICEB | Interlocking Compressed Earth Block |
References
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| Alternative | Size (mm) | Weight (kg) | Interlocking | Reinforcement | Ergonomics | Keynote |
|---|---|---|---|---|---|---|
| A—Hydraform | 240 × 220 × 115 | 10–12 | Horizontal key (height ≈ 5–10 mm); alignment ridge only in bed joint | None | Solid body; no finger grip; heavy to lift, frequent trimming | Good mass and stiffness, but poor ergonomics; unsuitable for seismic reinforced walls |
| B—Auram | 295 × 145 × 95 | 6–8 | Groove-and-tongue interlocking key (height ≈ 9 mm) | 1 small central core | Side grooves and chamfered edges enable better finger hold and safe placement | Easy to handle but limited rebar use; esthetic finish preferred for façades |
| C—Thai-Rhino | 300 × 150 × 100 | 6–8 | Dual keys (height ≈ 12 mm) providing a strong mechanical fit | 2 cores + groove | Side grooves, chamfered | Secure interlock, good seismic fit, but reduced net area |
| D—HiLo-Tec | 280 × 140 × 90 | 5–7 | Dual circular keys (height ≈ 10 mm) for two-way interlock | 2 full-height cores | Integrated finger grips, chamfered corners, lightweight, stable placement | Balanced design; ergonomically superior and reinforcement-ready |
| Scale Value | Verbal Judgment of Preference | Explanation |
|---|---|---|
| 1 | Equal importance | Two variables contribute equally to the objective |
| 3 | Moderate importance | Experience somewhat advantages one variable over another |
| 5 | Strong importance | Experience judgment significantly favors a single variable |
| 7 | Very strong importance | Dominance of one variable is demonstrated in practice |
| 9 | Extreme importance | Evidence favors one element absolutely |
| 2, 4, 6, 8 | Intermediate values | Used when a compromise is needed between two adjacent judgments |
| Reciprocals (1/3, 1/5, etc.) | Inverse judgments | If element i is favored over j with a given scale, then j is valued at the reciprocal compared to i |
| Parameter | Criteria-Level (5 × 5) | Size (4 × 4) | Weight (4 × 4) | Interlocking (4 × 4) | Reinforcement (4 × 4) | Ergonomics (4 × 4) |
|---|---|---|---|---|---|---|
| Matrix order (p) | 5 | 4 | 4 | 4 | 4 | 4 |
| Principal eigenvalue (λₘₐₓ) | 5.45 | 4.15 | 4.13 | 4.19 | 4.2 | 4.18 |
| Consistency Index (CI) | 0.112 | 0.05 | 0.043 | 0.063 | 0.067 | 0.06 |
| Consistency Ratio (CR) | 0.091 | 0.056 | 0.048 | 0.07 | 0.074 | 0.066 |
| Criteria | Size | Weight | Interlocking | Reinforcement | Ergonomics | Normalized Weight (wᵢ) |
|---|---|---|---|---|---|---|
| Size | 1 | 0.455 | 0.776 | 0.505 | 0.892 | 0.132 |
| Weight | 2.198 | 1 | 1.7 | 1.106 | 1.953 | 0.289 |
| Interlocking | 1.288 | 0.588 | 1 | 0.653 | 1.148 | 0.170 |
| Reinforcement | 1.981 | 0.904 | 1.531 | 1 | 1.763 | 0.261 |
| Ergonomics | 1.121 | 0.512 | 0.871 | 0.567 | 1 | 0.148 |
| Criterion | Size (mm) | Weight (kg) | Interlocking | Reinforcement | Ergonomics | Weighted Global Score | Rank |
|---|---|---|---|---|---|---|---|
| Criterion Weight | 0.132 | 0.289 | 0.17 | 0.261 | 0.148 | ||
| Hydraform (A) | 0.065 | 0.065 | 0.067 | 0.062 | 0.094 | 0.069 | 4 |
| Auram (B) | 0.473 | 0.349 | 0.144 | 0.168 | 0.227 | 0.266 | 3 |
| Thai-Rhino (C) | 0.155 | 0.215 | 0.571 | 0.314 | 0.343 | 0.312 | 2 |
| HiLo-Tec (D) | 0.306 | 0.37 | 0.218 | 0.456 | 0.336 | 0.353 | 1 |
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Khan, J.S.; Khan, A.; Alhassani, F. Analytic Hierarchy Process–Based Evaluation and Experimental Assessment of the Optimal Interlocking Compressed Earth Block Geometry for Seismic Applications. Buildings 2025, 15, 4234. https://doi.org/10.3390/buildings15234234
Khan JS, Khan A, Alhassani F. Analytic Hierarchy Process–Based Evaluation and Experimental Assessment of the Optimal Interlocking Compressed Earth Block Geometry for Seismic Applications. Buildings. 2025; 15(23):4234. https://doi.org/10.3390/buildings15234234
Chicago/Turabian StyleKhan, Junaid Shah, Azam Khan, and Faisal Alhassani. 2025. "Analytic Hierarchy Process–Based Evaluation and Experimental Assessment of the Optimal Interlocking Compressed Earth Block Geometry for Seismic Applications" Buildings 15, no. 23: 4234. https://doi.org/10.3390/buildings15234234
APA StyleKhan, J. S., Khan, A., & Alhassani, F. (2025). Analytic Hierarchy Process–Based Evaluation and Experimental Assessment of the Optimal Interlocking Compressed Earth Block Geometry for Seismic Applications. Buildings, 15(23), 4234. https://doi.org/10.3390/buildings15234234

