ECC Concept Graph Seed - Readable Version

Source basis: Victor C. Li, Engineered Cementitious Composites (ECC), Chapter 2.

Core flow

FRC
└─ typically exhibits → tension-softening

ECC
└─ designed to exhibit → tensile strain-hardening
   └─ requires → multiple microcracking
      └─ enables → crack width control

Micromechanics design framework

Micromechanics-based design
├─ includes → strength criterion
│  ├─ depends on → peak bridging capacity σ_o
│  └─ depends on → matrix cracking strength σ_fc
└─ includes → energy criterion
   ├─ depends on → maximum complementary energy J_b0
   └─ depends on → matrix crack-tip toughness J_tip

Bridging and pullout hierarchy

Single fiber pullout P(u)
└─ feeds model → fiber bridging law σ(δ)
   ├─ defines peak → σ_o
   └─ defines energy → J_b0

Parameter groups

Fiber properties
└─ control → fiber bridging law σ(δ)

Fiber/matrix interface properties
└─ control → fiber bridging law σ(δ)

Matrix properties
└─ control → matrix cracking strength σ_fc

Initial flaw size distribution
└─ control → matrix cracking strength σ_fc

Artificial flaws
└─ tailor → initial flaw size distribution

Fiber dispersion
└─ modifies effective response → fiber bridging law σ(δ)

Interpretation rules

• strength criterion and energy criterion must be satisfied together.
• σ_o alone is not enough; J_b0 also matters.
• Higher fiber volume alone does not guarantee ECC behavior.
• Artificial flaws are a matrix tailoring strategy, not merely defects.
• Processing affects fiber dispersion and therefore the effective bridging response.

Next refinement

• Add exact equation nodes from Chapter 2 after OCR correction.
• Add source links to paper cards.
• Add confidence/evidence tags to each edge.