Visual Overview with Diagrams and Tables

Modulus	Deformation Type	Formula	Dimensional Formula	Unit
Young's (Y)	Linear (longitudinal)	Y = FL/(A $\Delta L$ )	[ $M^{1}$ $L^{-1}$ $T^{-2}$ ]	Pa
Bulk (B)	Volumetric	B = −V(dP/dV)	[ $M^{1}$ $L^{-1}$ $T^{-2}$ ]	Pa
Shear (G)	Tangential	G = τ/φ	[ $M^{1}$ $L^{-1}$ $T^{-2}$ ]	Pa

Liquid Drop $\Delta P$ = 2S/R 1 free surface ← 1 layer → Soap Bubble $\Delta P$ = 4S/R 2 free surfaces outer + inner Capillary h=2Scosθ/ρgr h

Mode	Law	Key Formula	K / σ Units
Conduction	Fourier's	Q/t = KA( $\Delta T$ )/L	K: W $m^{-1}$ $K^{-1}$
Convection	Newton's Cooling	dT/dt = −k(T − $T_{0}$ )	k: $s^{-1}$
Radiation	Stefan-Boltzmann	P = σ $AT^{4}$	σ = $5.67 \times 10^{-8}$ W $m^{-2}$ $K^{-4}$