#geophysics

Isotropic elastic-constant mechanics as an API, computed locally and deterministically. The convert endpoint takes any two of the five linear-elastic constants — Young’s modulus E, shear modulus G, bulk modulus K, Poisson’s ratio ν and the first Lamé parameter λ — and returns all five, using the standard isotropic relations (G = E/(2(1+ν)), K = E/(3(1−2ν)), λ = Eν/((1+ν)(1−2ν)) and their inversions for the pairs E+ν, G+ν, K+ν, E+G, E+K, K+G, G+λ, K+λ and λ+ν); steel given E = 200 GPa and ν = 0.3 comes back as G ≈ 76.92 GPa, K ≈ 166.67 GPa and λ ≈ 115.38 GPa. The wave-speeds endpoint computes the longitudinal (P) and shear (S) elastic wave speeds from two moduli and the density, vp = √((K + 4G/3)/ρ) and vs = √(G/ρ), together with the vp/vs ratio used in seismology and ultrasonic testing — steel comes out at about 5860 m/s for P-waves and 3130 m/s for S-waves. Moduli convert in whatever consistent unit you supply (the wave-speed endpoint expects strict SI: pascals and kg/m³ for metres per second). Everything is computed locally and deterministically, so it is instant and private. Ideal for materials-science, mechanical-engineering, geophysics, seismology, ultrasonic-NDT and FEA app developers, material-property and rock-physics tools, and simulation software. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 2 endpoints. This interconverts elastic constants; for Young’s modulus from a stress/strain tensile test use a Young’s-modulus API.

api.oanor.com/elasticmoduli-api

Earthquake-magnitude seismology as an API, computed locally and deterministically. The energy endpoint computes the radiated seismic energy released by an earthquake of a given magnitude using the Gutenberg-Richter relation, log10(E) = 1.5·M + 4.8 with E in joules, and converts it to a TNT equivalent in tons and kilotons (one ton of TNT ≈ 4.184×10⁹ J), with a felt/damage classification. The compare endpoint quantifies how much bigger one quake is than another: each magnitude unit means about ten times the ground-motion amplitude on a seismograph and about 31.6 times (10^1.5) the energy, so it returns both the amplitude ratio and the energy ratio between two magnitudes. The moment-magnitude endpoint converts between the seismic moment M0 (in newton-metres, M0 = rigidity × rupture area × slip) and the moment magnitude with the Hanks-Kanamori relation Mw = (2/3)·log10(M0) − 6.07, in either direction. Magnitudes are dimensionless, energy is in joules and seismic moment in newton-metres. Everything is computed locally and deterministically, so it is instant and private. Ideal for seismology-education, disaster-modelling, insurance, structural-risk and science app developers, earthquake-energy and magnitude tools, and STEM teaching. Pure local computation — no key, no third-party service, instant. Live, nothing stored. 3 endpoints. This is the earthquake-magnitude calculator; for real-time and historical earthquake event feeds use an earthquake data API.

api.oanor.com/richter-api