Structural Mechanics & Materials

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Abstractions about how structures and materials bear and transmit load, including truss and framing systems (truss, bowstring truss, timber framing), material and micromechanical models (Eshelby's inclusion, force chain, indentation size effect), and design and testing methods (permissible stress design, plane strain compression test, pure bending).

19 abstractions in this family — domain-specific abstractions that sit near one another in structural-signature space (k-means over structural-signature embeddings). Each is shown with its short description.

• Aggregate Modulus — The equilibrium confined-compression stiffness of a fluid-saturated porous material, defined as axial stress divided by axial strain after pore-fluid flow and stress relaxation have ceased under zero lateral strain.
• Basquin's Law — An empirical power-law segment relating cyclic stress to fatigue life under specified material, loading, and failure conditions.
• Bowstring Truss — A tied-arch truss with a bowed compression top chord, straight tension bottom chord, and connecting web that contains horizontal thrust across a clear span.
• Computational electromagnetics — Numerical solution of Maxwell field problems in specified geometries, materials, sources, and boundaries, with discretization and error evidence tied to intended electromagnetic outputs.
• Curved structures — Load-bearing architectural assemblies whose curved geometry contributes to spanning and force transfer.
• Design of plastic components — Designing injection-molded plastic parts around the constraints of filling, cooling, and mold release.
• Distributed-Element Model — An electrical-circuit model that treats impedance and voltage/current behavior as spatially distributed rather than confined to ideal lumped components.
• Embedment (Fastened Joints) — Irreversible settling of loaded mating-surface asperities in a fastened joint, which shortens the clamped stack and can relax bolt elongation and preload after assembly.
• Eshelby's inclusion — The classical micromechanics problem of an ellipsoidal region with prescribed eigenstrain constrained inside an infinite linear-elastic matrix, producing a uniform interior strain related by the Eshelby tensor.
• Force Chain — A connected path of grains carrying concentrated compressive contact forces through a jammed granular material.
• Indentation Size Effect — The systematic dependence of indentation hardness or strength on contact size, depth, or load, often producing higher apparent hardness at smaller scales under controlled measurement.
• Modified compression field theory — A rotating, smeared-average constitutive theory for two-dimensional cracked reinforced concrete that couples empirically defined concrete principal response with axial reinforcement under equilibrium and compatibility.
• Permissible Stress Design — A service-load design philosophy requiring calculated stresses to stay below code-defined allowable elastic stresses.
• Plane Strain Compression Test — A material measurement that compresses a constrained specimen between opposing punches to approximate plane strain and infer large-strain mechanical response from load and deformation.
• Pure Bending — The ideal beam state over a region where bending moment is constant and axial force, shear force, and torque vanish, producing curvature and normal stress without other section resultants.
• Quasicrystal — A crystalline material with long-range ordered, nonperiodic structure of the quasicrystal class.
• Tectonostratigraphy — A geological framework that organizes rock packages and their superposition by tectonic assembly—especially stacked thrust sheets, nappes, terranes, and fault-bounded units—or analyzes how deformation reorganizes lithostratigraphic relations.
• Timber framing — A building structure of heavy wood posts and beams assembled with fitted joinery and bracing into a load-bearing frame distinct from its enclosure.
• Truss — A stable load-bearing assembly of joined members that, under its truss idealization, channels forces mainly through axial tension and compression.